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    V. Bojinov, N. Georgiev

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    Journal of the University of Chemical Technology and Metallurgy, 46, 1, 2011, 3-26

    MOLECULAR SENSORS

    AND MOLECULAR LOGIC GATES

    (REVIEW)

    V. Bojinov, N. Georgiev

    University of Chemical Technology and Metallurgy

    8 Kl. Ohridski, 1756 Sofia, Bulgaria

    E-mail: [email protected]

    ABSTRACT

    Current computers are based on semiconductor logic gates which perform binary arithmetic and logical opera-

    tions. However, trend of device miniaturization will reach its molecular-scale ultimate in the near future. Therefore the

    design and construction of molecular systems capable of performing complex logic functions is of great scientific interest

    now. Logic operations from the simplest to small-scale integrated cases are now available on molecular level, including

    those with arithmetic capability. The ideas of supramolecular switches can be a useful way of advancing molecular logic

    and computation. Here we illustrate and discuss recent progress of this research area.

    Keywords: molecular sensors, molecular logic gates, molecular computers, half-adder, full-adder, half-subtractor,

    full-subtractor, digital magnitude comparator.

    Received 20 January 2011

    Accepted 18 February 2011

    INTRODUCTION

    Computers have enhanced human life to a great

    extent. The speed of conventional computers is achieved

    by miniaturizing electronic components to a very small

    micron-size scale so that those electrons need to travel

    only very short distances within a very short time. Fur-

    ther miniaturization of lithography introduces several

    problems such as dielectric breakdown, hot carriers, and

    short channel effects [1]. All of these factors combine

    to seriously degrade device reliability. Even if develop-

    ing technology succeeded in temporarily overcoming

    these physical problems, we will continue to face themas long as increasing demands for higher integration

    continues. Therefore, a dramatic solution to the prob-

    lem is needed, and unless we gear our thoughts toward

    a totally different pathway, we will not be able to fur-

    ther improve our computer performance for the future.

    The concept of a macroscopic logic device can

    be extended to the molecular level by designing and

    synthesizing molecular species capable of performing

    specific functions. Further miniaturization on molecu-

    lar level will not only decrease the size and increase the

    power of computers, but is also expected to open the wayto new technologies, such as nanorobotics [2]. Supra-

    molecular chemistry, also known as the chemistry be-

    yond the molecules, provides the best route for molecular

    nanotechnology, allowing the design of versatile functional

    nanomaterials conveying the remarkable characteristics of

    the molecular centers, including their electronic, opti-

    cal and chemical properties [3]. Molecular devices op-

    erate via electronic and/or nuclear rearrangements and,

    like macroscopic devices, need energy to operate and

    signals to communicate with the operator. The energy

    needed to make a device work can be supplied as chemi-cal energy, electrical energy, or light. Luminescence is

    one of the most useful techniques to monitor the op-

    eration of molecular-level devices. The logic operations

    are based on Boolean algebra, which is in the back-

    ground of the modern computers dealing with 0 and

    1 binary code. Molecular or supramolecular sensors

    and switches are promising candidates for the realiza-

    tion of innovative materials for information technology

    [4]. Molecular sensors show large changes in their

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    photophysical and electromagnetic properties so called

    off and on states, where off and on state would

    be presented as 0 and 1, consequently they can per-

    form logic operations.

    MOLECULAR SENSORS

    There is currently great interest within the field

    of supramolecular chemistry in developing miniatur-

    ized molecular devices that mimic or mirror the action

    of macroscopic devices such as switches, motors and

    other machinery [5-8]. Supramolecular devices that

    show large changes in their so called off and on

    states, where their states refer to their luminescence,

    magnetic, or electronic properties, are of particular inter-

    est as these can be modulated, or tuned, by employing

    external sources, or inputs, such as ions, molecules,

    light, etc. [9-18].

    The simplest common definition of a sensor is

    that a sensor is something that senses, i.e., receives in-

    formation and transforms it into a form compatible with

    our perception, knowledge and understanding. The man-

    made sensors are often called chemical sensors and

    those of them that involve biology-related compounds

    and/or biospecific target binding biosensors. The sen-

    sor has two functions [19]. The first is to provide interac-

    tion with the target in a highly selective way, recognizing

    it from other objects of similar structure and properties

    that can be present in the probed system. The structure

    responsible for that is called recognition unit or recep-

    tor. The other function is to visualize this interaction,

    to report about it by providing a signal that can be ana-

    lyzed and counted. The structure responsible for the

    generation of this signal is called a reporter.

    Molecular receptors are defined as organic struc-

    tures held by covalent bonds that are able to bind se-

    lectively ionic or molecular substrates by means of

    various intermolecular interactions, leading to an as-

    sembly of two or more species, a supramolecule. Thechemistry of artificial receptor molecules represents

    generalized coordination chemistry, not limited to tran-

    sition-metal ions but extending to all types of sub-

    strates: cationic, anionic, or neutral species of or-

    ganic, inorganic, or biological nature [8,18]. In order

    to obtain high recognition, the non-covalent forces

    must be taken into account in the design of the recep-

    tor. Design principles are therefore applied in order

    to achieve the desired intermolecular interaction, with

    a number of factors being used to increase the strength

    of the intended host-guest complex.

    The sensing function can actually be incorporated

    at a molecular level. This is achieved by combining a

    binding site and a reporter group in one molecule. The

    reporter group is chosen to have electrochemical or spec-

    troscopic properties that are altered by proximate host-

    guest interaction. This electrochemical or spectroscopic

    output can therefore be used to quantitatively detect spe-

    cific guests [20]. The most common type of optical sen-

    sors is based on the fluorescence phenomenon.

    Fluorescence was first used as an analytical tool

    to determine the concentrations of various species, ei-

    ther neutral or ionic. When the analyte is fluorescent,

    direct determination is possible; otherwise, a variety

    of indirect methods using derivatization, formation of

    a fluorescent complex or fluorescence quenching have

    been developed. Fluorescence sensing is the method

    of choice for the detection of analytes with a very high

    sensitivity, and often has an outstanding selectivity

    thanks to specially designed fluorescent molecular sen-

    sors.

    In fluorescent molecular sensors, the fluorophore

    is the signaling species, i.e. it acts as a signal transducer

    that converts the information (presence of an analyte)

    into an optical signal expressed as the changes in the

    photophysical characteristics of the fluorophore. In prin-

    ciple, a fluorescent molecular sensor is the analyte-re-

    sponsive (supra)molecular moiety, involving a fluorophore

    that signals the presence of an analyte by changes in its

    fluorescence characteristics [21,22]. In contrast, in an

    electrochemical sensor, the information is converted into

    an electrical signal.

    The success of fluorescence detection over other

    methods can be explained by the distinct advantages in

    terms of sensitivity, selectivity, high speed (response time),

    local observation (e.g. by fluorescence imaging spectros-

    copy), and safety.The design of fluorescent sensors is of major

    importance because of the high demand in analytical

    chemistry, clinical biochemistry, medicine, the environ-

    ment, etc. Numerous chemical and biochemical analytes

    can be detected by fluorescence methods: cations (H+,

    L+, N+, K+, Ca2+, Mg2+, Zn2+, Pb2+, Cd2+, Al3+, Cr3+,

    etc.), anions (halide, citrates, carboxylates, phosphates,

    etc.), neutral molecules (sugars, e.g. glucose, etc.) and

    gases (O2, CO

    2, NO, etc.).

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    Molecular systems in which fluorescence switches

    between on and off states when driven by chemical

    stimuli can be designed according to a few principles

    photoinduced electron transfer (PET), photoinduced

    charge transfer (PCT), energy transfer (ET) and excimer

    formation, with emphasis on the first category [23]. These

    designs open the way to sharp signaling of small chemi-

    cal species that perform critical biological functions.

    Fluorescent sensors based on photoinduced electron

    transfer (PET)

    The most widely used mode of fluorescence

    modulation is the decrease or increase of fluorescence

    intensity at a single emission wavelength upon analyte

    binding. One of the mostly used phenomena in supramo-

    lecular recognition by chemosensors is photoinduced

    electron transfer. The photoinduced electron transfer

    (PET) using the fluorophore-spacer-receptor format

    is the most commonly exploited approach for the de-

    sign of the fluorescent sensors and switchers [23-26].

    In photoinduced electron transfer, absorption of

    light by a molecule causes an electron to jump to an-

    other molecule or component of a composite system.

    Once the electron has jumped, a molecular radical ion

    pair is formed or in an organic/semiconductor

    nanostructure, an electron-hole pair is created. These

    ions or electron hole pairs have a finite lifetime after

    which they recombine (mostly geminate recombination)

    through radiative or nonradiative channels.

    This type of system consists of a fluorophore

    linked to a donor atom (usually amino nitrogen). Upon

    Fig. 1. PET mechanism.

    excitation of fluorophore, an electron transfer occurs

    from the HOMO of the donor to the low-lying HOMO

    of the acceptor (fluorophore). Thus fluorescence doesnt

    take place. When cation binds to the recognition moi-

    ety where the donor atom is present, the energy of the

    HOMO of the ion receptor is lowered so that the pho-

    toinduced electron transfer cant happen from HOMO

    of the donor to the fluorophore (Fig. 1). This is dis-

    played as enhancement in fluorescence [27].

    Many of the fluorescent chemosensors work with

    this principle. Selectivity for ions is achieved by the

    correct choice of recognition moiety for the desired ion.

    A classical example is compound 1 [28]. The recogni-

    tion moiety is not necessary to be crown ether. Podands

    like 2 [29,30], cryptands 3 [31] and 4 [32], chelating 5

    [33,34], calixarene [35,36] type receptors can also serve

    as ion binding sites (Scheme 1).

    Naphthalimide derivatives are a special class of

    environmentally sensitive fluorophores [37,38]. Because

    of their good photophysical properties and strong fluo-

    rescence the 1,8-naphthalimide derivatives have found

    application in a number of areas including colouration

    and photostabilization of polymers [39-49], laser active

    media [50,51], fluorescent markers in biology [52], an-

    ticancer agents [53] and analgesics in medicine [54],

    light emitting diodes [55,56], electroluminescent mate-

    rials [57,58], liquid crystal displays [59], solar cells [60].

    They are well studied class of luminophores that have

    already found application as signal fragment in fluores-

    cent sensor systems for protons [61-63], ions [64,65]

    and neutral molecules [66].

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    Recently a new fluorescent bis-1,8-disubstituted

    naphthalimide 6 have been synthesized where the two

    1,8-naphthalimide fragments are substituted with N,N-

    dimethylaminoethylamino receptor groups [67]. Novelcompound show very good sensor properties in the pres-

    ence of protons and transition metal ions due to the

    quenching of PET processes in the 1,8-naphthalimide

    fluorophores (Scheme 2). Because of the deprotonation

    of the amino moiety at C-4 position in the 1,8-

    naphthalimide units caused by OH anions, compound

    6 changes its colour from yellow to red in alkaline me-

    dia and could be used as a naked eye sensor for hy-

    droxyl anions as well.

    The fluorescent sensors photostability is a very

    important characteristic with regard to their practical us-age. With that end of view a series of highly photostable

    1,8-naphthalimide-based fluorescent sensors, containing

    a hindered amine light stabilizer (HALS) fragment 7-11

    [68-70] as well as containing simultaneously HALS frag-

    ment and 2-hydroxyphenyl-benzotriazole 12-15 [71,72]

    or 2-hydroxyphenyl-1,3,5-triazine 16-19 [73,74] UV ab-

    sorber moieties have been synthesized (Scheme 3).

    The combination of 2,2,6,6-tetramethylpiperidine

    radical scavenger (HALS) fragment with an UV absorber

    moiety in the dyes molecules synergistically improved

    in large extent their photostability in respect to other

    similar fluorescent dyes, not containing either an UV

    absorber or a HALS component. Due to the incorpo-rated allyl function compounds 9-11 and 16-19 are able

    for simultaneously chemically fluorescent dyeing and

    photostabilization of polymers in the production of solid

    stable to solvents fluorescent sensors.

    All compounds in Scheme 3 are designed to act

    as photostable detectors of environment pollution by tran-

    sition metal cations and protons. They are configured on

    the fluorophore-spacer-receptor model (Fig. 1), where

    the 4-amino-1,8-naphthalimide or 4-oxy-1,8-

    naphthalimide moiety is the fluorophore and the 2,2,6,6-

    tetramethylpiperidine N-amine or 4-methylpiperazineN-amine in the C-4 substituent is the analyte receptor.

    The hydrocarbon part of the piperazine

    (tetramethylpiperidine) fragment serves as a spacer that

    covalently separates the two units. In these particular

    cases a PET process (an electron transfer from the re-

    ceptor to the excited state of the fluorophore) quenches

    fluorescence emission of the 1,8-naphthalimide unit.

    This represents the off-state of the system. The proto-

    nation or respective metal complex formation of the

    Scheme 1. Some examples of PET based fluorescent chemosensors.

    Scheme 2. PET process in bis-1,8-naphthalimide 6.

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    Scheme 3. PET-based photostable 1,8-naphthalimide sensors.

    Scheme 4. PET process in 1,8-naphthalimide 16.

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    piperidine amine or piperazine N-amine increases the

    oxidation potential of the receptor, and as such, ther-

    modynamically disallow the electron transfer [63,75].

    Consequently the emission is switched on. Thus, the

    fluorescence is strong in acidic media and transition

    metal cations environment.

    As a typical example, protonation of the alky-

    lated amine donor (receptor) of compound 16 drasti-

    cally alters the electron-donating properties and conse-

    quently switching of the PET path from the alkylated

    amine donor to the 4-amino-1,8-naphthalimide moiety

    (Scheme 4).

    The typical naphthalimide emission band of16

    in water/DMF (4:1, v/v) is blue-shifted upon protona-

    tion and red-shifted upon deprotonation. Compared with

    the fluorescence in the basic medium, protonation of

    the alkylated amine results in the fluorescence enhance-

    ment of the 4-amino-1,8-naphthalimide fluorophore by

    46.37 times (Fig. 2).

    All of compounds 7-19 (Scheme 3) show approxi-

    mately the same behaviour throughout the coordina-Fig. 2. Fluorescence enhancement of16 as a function of

    pH.

    Scheme 5. Type of coordination of15 and 16 (1:1 metal/ligand complex).

    Scheme 6. Type of coordination of 7, 8 and 17 (3:2 metal/ligand complex).

    tion process with different transition metal ions as that

    in the presence of protons the coordination of the dye

    receptor with the metal ion results in fluorescence en-

    hancement. However, the titration plot of compound

    16 differs from the plot of the similar compound 17

    and provides for a 1:1 metal/ligand complex coordina-

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    tion. In consent to this assumption, a hypsochromic shift

    (F

    = 11 nm) of the dye fluorescence maxima in the

    presence of metal ions has been observed, which indi-

    cates a bidentat chelation to both nitrogen atoms in the

    lower piperazine moiety, as it is shown in Scheme 5.

    The same type of coordination (1:1 metal/ligand

    complex) manifest sensors 11, 13 and 15, containing

    2,2,6,6-tetramethylpiperidine receptor at C-4 position

    of 1,8-naphthalimide moiety (Scheme 5).

    The titration plot of compounds 7, 8 and17, con-taining upper piperidine nitrogen (see Scheme 3),

    provides for a 3:2 metal/ligand complex coordination.

    This supposes chelation to the piperidine nitrogen in

    two different molecules in addition to the bidentat che-

    lation of the piperazine or tetramethylpiperidine moi-

    ety at 1,8-naphthalimide C-4 position (Scheme 6).

    Compounds 9, 10, 12, 14, 18 and 19, containing

    only piperidinyloxy receptor at 1,8-naphthalimide C-4

    position (see Scheme 3), provides for a 1:2 metal/ligand

    complex. This supposes chelation to the piperidine ni-

    trogen in two different molecules (Scheme 7).

    The results described reveal a very good sensor

    activity of the yellow-green emitting 1,8-naphthalimide

    fluorophores 7-19, indicating their potential as highly

    efficient off-on switchers for protons and transition

    metals ions.

    The presented basic scheme (Fig.1.) is not only

    PET mechanism. In some cases PET sensors involve in

    their signaling mechanism formation eximers [76-78]or energy transfer [79]. With transition metals, electron

    transfer may occur from fluorescent chemosensor to the

    coordinated metal ion or vice versa [80]. This results in

    quenching of the fluorescence by non-radiative energy-

    transfer according to Dexter mechanism. PET may some-

    times occur from acceptor to donor, and then it is called

    oxidative PET (Fig. 3).

    In some instances, after the prevention of PET

    by metal binding, excitation energy is transferred from

    Scheme 7. Type of coordination of 9, 10, 12, 14, 18 and 19 (1:2 metal/ligand complex).

    Fig. 3. Oxidative PET mechanism.

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    the fluorophore through ligand to another bound cat-

    ion like Eu3+ or Tb3+. This transfer is seen as the dis-

    appearance of emission signal from the fluorescent

    cations. An example for oxidative PET is

    borondipyrromethene dye 20 [81]. Dye 20 typically

    displays very high quantum yield and bright-green fluo-

    rescence (Scheme 8). After binding the cation at addi-

    tion of zinc fluorescence is quenched via oxidative PET

    mechanism.

    Fluorescent sensors based on photoinduced charge

    transfer (PCT)

    In contrast with PET systems, in the PCT

    chemosensors the receptor is directly attached to the

    electron-donating/withdrawing unit that is conjugated

    to the fluorophore an electron-withdrawing/electron-

    donating unit. The difference is that in the latter case,

    this process occurs within the same electronic system.

    During excitation of the system the fluorophore under-

    goes donor-acceptor intramolecular charge transfer

    (ICT) from the donor to the acceptor. The electronic

    states achieved in this reaction are not charge-sepa-

    rated but charge-polarized states. The excited-state

    charge transfer makes the electron-donor site strongly

    positively charged. The subsequent change in the di-

    pole moment results in a Stokes shift that depends on

    the microenvironment of the fluorophore. Thus it can

    be predicted that the presence of a guest near by the

    donor/acceptor moiety will change the photophysical

    properties of the fluorophore because it will affect the

    efficiency of ICT [82].

    When a group (like an amino group) playing the

    role of an electron donor within the fluorophore inter-

    acts with a cation, the latter reduces the electron-donat-

    ing character of this group; owing to the resulting re-

    Fig. 4. PCT sensors based on cation interaction with an electron-donating or electron-withdrawing group.

    Scheme 8. An example of oxidative PET-based fluorescent

    sensor.

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    duction in polarization, a blue shift of the absorption

    spectrum is expected, together with a decrease in the

    molar absorption coefficient. Conversely, a cation

    interactig with the acceptor group enhances the elec-

    tron-withdrawing character of this group; the absorp-

    tion spectrum is thus red-shifted and the molar absorp-

    tion coefficient is increased (Fig. 4). The fluorescence

    spectra are in principle shifted in the same direction as

    the absorption spectra. An anion produces the opposite

    effect. In addition to these shifts, changes in quantum

    yields and lifetimes are often observed [19].

    The above-explained general principles of effi-

    cient usage of the ICT mechanism in sensing is well

    demonstrated by the example of 1,8-naphthalimide based

    sensor 21 for Cu2+ ion [83]. The pronounced spectral

    variations, particularly the largely red shifted ICT ab-

    sorption by Cu2+, are consistent with the expected in-

    crease in the ICT interaction mediated by the electron

    donation from the probable donor perimidine nitrogens

    along with amide carbonyl of the naphthalimide sub-

    unit, acting as an acceptor (Fig. 5).

    Using this concept a various sensors for

    cationdetection are obtained. For instance sensors 22, 23,

    24, and 25 show high selectivity in respect of Hg2+ [84],

    Zn2+ [85], Ca2+ [86], Pb2+ [87], respectively (Scheme 9).

    The PCT based chemosensors are able to detect

    not only cations but anions as well [88,89]. Gunnlaugssonpresented that the PCT effect in compounds 26-28 is a

    useful tool for F determination [90]. Compounds 26-

    28 are based on the 4-amino-1,8- naphthalimide struc-

    ture. Such compounds are highly coloured, as well as

    being fluorescent, emitting typically with max

    : 550Fig. 5. ICT sensing mechanism and spectral variations for

    sensor 21 interacting with Cu2+.

    Scheme 9. Some examples of PCT based chemosensors.

    Scheme 10. PCT based chemosensors for determination of

    fluorine ions.

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    nm, as they possess large excited state dipole moments

    due to their internal charge transfer (ICT) excited state

    nature (Scheme 10).

    Upon addition of AcO-, H2PO

    4-, Cl-, Br- and F-

    anions (as their (C4H

    9)

    4N+ salts), only F- gave rise to

    changes in the absorption bands of examine compounds

    due to the deprotonation of the 4-amino moiety. This

    causes a significant increase in the charge density on theamino nitrogen with associated enhancement in the push-

    pull character of the ICT transition, bathochromically

    shifting the absorption (colour changes of28 from green

    to purple, Scheme 11).

    Fluorescent sensors based on energy transfer (ET)

    Another important process that occurs in the

    excited state is resonance energy transfer. This process

    occurs whenever the emission spectrum of a fluorophore,

    called the donor, overlaps with the absorption spectrum

    of another molecule, called the acceptor. The acceptordoes not need to be fluorescent. It is important to un-

    derstand that resonance energy transfer does not involve

    emission of light by the donor. Resonance energy trans-

    fer is not the result of emission from the donor being

    absorbed by the acceptor [91]. Such reabsorption pro-

    cesses are dependent on the overall concentration of

    the acceptor, and on non-molecular factors such as

    sample size, and are thus of less interest. There is no

    intermediate photon in resonance energy transfer. The

    donor and acceptor are coupled by a dipole-dipole in-

    teraction. For these reasons, the term resonance energy

    transfer is preferred to the term fluorescence resonance

    energy transfer (FRET), which is also in common use.

    The extent of energy transfer is determined by the dis-

    Scheme 11. Deprotonation of the donating 4-amino moiety and colour change in dye 28.

    Scheme 12. Energy transfer after complexation of29 with metal ions.

    Scheme 13. ET-based anthracene sensors for Cu2+.

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    tance between the donor and acceptor and the extent of

    spectral overlap.

    Fluorescent chemosensor 29 with two different

    fluorophores (naphthalene and anthracene) at the both

    ends of polyether was synthesized (Scheme 12). This

    compound based on 9-anthryl aromatic amide adopted

    naphthalene as a TICT (twisted intramolecular charge

    transfer) controller and an intramolecular energy trans-

    fer source. Compound 29 shows high fluorescence effi-

    ciency upon complexation with metal ions due to the

    close interaction between both fluorophores [92].

    Other useful energy transfer pathway for sensing

    is based on fluorophore-analyte interaction. This con-

    cept is well demonstrated by anthracene based sensors

    30-33 for Cu2+ detection. The remarkable high selective

    detection in this system is due to the Dexter energy trans-

    fer from anthracene exited state to the Cu2+ resulting in

    strong fluorescence quenching effect (Scheme 13) [30].

    Fluorescent sensors based on combination of PET, PCT

    and ET effects

    The combination of above commented basic

    chemosensing principles (PET, PCT and ET) provide

    sensor compounds with new and interesting properties.

    On Scheme 14 is illustrated a pH sensing dyad 34 in

    which an energy transfer between a PET based 1,8-

    naphthalimide and Rhodamine 6G is used [93]. Com-

    pared with the separated 1,8-naphthalimide and

    Rhodamine 6G units, dyad 34 shows remarkable high

    fluorescence amplified in acidic media. After careful

    titration from pH ca. 9 to pH ca. 2 the emission inten-Scheme 14. Combination of PET and ET in dyad 34.

    Scheme 15. PAMAM light harvesting dendrons.

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    sity of focal Rhodamine 6G in dyad 34 had enhanced

    about 43 times.

    To improve the absorption ability of chemosensing

    system a number of 1,8-naphthalimide PAMAM light

    harvesting dendrons have been synthesized [94-98]. Two

    typical examples of such systems are presented on Scheme

    15. On the first view the both system 35 and 36 are the

    same but PET process is realizable by different ways.The remarkable difference in the behaviour of the recep-

    tors in C-4 and N-position of the core can be easily ra-

    tionalized according to Scheme 15. The 4-

    aminonaphthalimide core in antennae is a push-pull

    -electron system with 4-amino donor and 1,8-

    naphthalimide acceptor. This leads to strong internal

    charge transfer (ICT) in the lowest excited singlet state

    and considerable dipole character (positive pole at 4-

    amino terminus). A large dipole moment in the excited

    state gives rise to a strong photogenerated electric field.

    Such a molecular electric field can, depending on its signand magnitude, inhibit or accelerate a transiting electron

    in the 1,8-naphthalimides. Thus the PET fluorescence

    quenching is observed only if the electron leaving the

    unprotonated amine donor can enter the space of the 4-

    amino-1,8-naphthalimide fluorophore across the C-4

    position with its attractive electric field (dendron 35).

    The corresponding PET path from the unprotonated

    amino receptor in N-position is just as feasible thermody-

    namically but requires the electron to enter the fluorophore

    across the imide moiety with its repulsive electric field

    and is not observed [63]. Furthermore the 4-alkylamino

    core substituent possesses higher electron donating abil-

    ity in comparison with the peripheral 4-alkyloxy sub-

    stituent. Consequently the negative repulsion field in

    Scheme 16. Combination of PET and PCT in pH sensing mechanism of sensor 37.

    Fig. 6. Range of the on-state (pH-window) for compound

    37.

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    peripheral imide groups is weaker compared with the

    negative repulsion field in core imide. That is why the

    PET process from the tertiary amine in dendron bone

    (upper receptor) is thermodynamically favorable in

    large extent to the periphery of the system 36.

    A nice combination of simultaneous PCT and

    PET processes for pH-detection is demonstrated by 1,8-

    naphthalimide derivative 37 [99]. The pH-chemosensing

    mechanism of sensor 37 is illustrated in Scheme 16.

    In neutral and alkaline media the fluorescence

    emission of sensor 37 is in off-state, which is due to

    the PET quenching from ester-branching amine recep-

    tor to the fluorophore excited state. After acidification

    to ca. pH 5, the PET process is thermodynamically dis-

    allowed because of the protonation of the amine recep-

    Fig. 7. Range of the on-state (pH-window) for compound

    38.

    Fig. 8. Chemical system 10 (P) which performs the YES logic operation under the action of one chemical input (H+) and the

    corresponding truth table.

    tor and the fluorescence of37 is switched-on. Fur-

    ther acidification caused protonation of the imine ni-

    trogen (C=N), which quench the emission of the sensor

    again and fluorescence is switched-off. That is why

    sensor 37 shows off-on-off pH switching properties

    with on-state between pH 6 and pH 4. The simulta-

    neous PET and PCT sensing properties in 37 (Fig. 6)

    lead to tight onpH-window (about 2 pH units). As an

    example, the similar off-on-off sensor 38 (Fig. 7) based

    only on PCT shows on-state in wide pH-window of

    about 5 pH units [100].

    MOLECULAR LOGIC GATES

    In computers, information processing is based

    on Boolean algebra. Booles (binary) algebra (from the

    name of the English mathematician George Boole) is a

    system for the mathematical analysis of logic. Logic gates

    are the devices used to perform basic logic operations.

    In semiconductor devices the logic gates work using

    binary logic, where the signals are encoded as 0 and 1

    (low and high current). Developments in supramolecu-

    lar chemistry and nanotechnology shows great interest

    in the construction of simple electronic or photonic

    driven systems and network that function as molecular

    level devices which are working by logic gates [101-

    104]. This process is executable on molecular level by

    several ways, but the most common are based on the

    optical properties of the molecule switches encoding

    the low and high concentrations of the input guest mol-

    ecules and the output absorption and/or fluorescent in-

    tensities with binary 0 and 1, respectively [4, 105-107].

    The first proposal to execute logic operations at the

    molecular level was made in 1988 [108], but the field

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    developed only five years later when the analogy be-

    tween molecular switches and logic gates was experi-

    mentally demonstrated by de Silva [75].

    Molecule logic based on single inputs

    With single input (e.g., analyte binding) and single

    output (e.g., switch-on of fluorescence intensity) only

    two simple operations are possible, YES when input is

    0 or 1 and the output is the same, and NOT, which is

    the opposite - when input is 0 or 1, the output is 1 or 0.

    Fluorescent off-on sensors where an analyte causes a

    fluorescence enhancement (FE) can be understood as

    YES logic gates (Fig. 8) [69]. A logical inverter, some-

    times called a NOT gatereverses the logic state and itwould be implement on molecular level using on-off

    sensors which fluorescence is quenched in the presence

    of an analyte (Fig. 9) [109].

    Molecule logic based on two inputs

    More complicated logical operations are possible

    with two inputs such as two different ions bound to two

    different sites. There are six basic logic gates that oper-

    ate with two inputs and one output: AND, OR, XOR,

    Fig. 9. Chemical system 39 (P) which performs the NOT logic operation under the action of one chemical input (Zn2+) and the

    corresponding truth table.

    Fig. 10. Chemical system 40 (P) which performs the AND logic operation under the action of two chemical inputs (H+ and

    Na+) and the corresponding truth table.

    Fig. 11. AND logic gate 41 with two inputs (H+ and Na+)

    and singlet oxygen as output.

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    NAND, NOR and XNOR. And all of this logic gates

    were achieved by molecules [110-112].

    The AND gate is so named because, if 0 is called

    false and 1 is called true, the gate acts in the same

    way as the logical and operator. The output is true

    when both inputs are true. Otherwise, the output is

    false. The first case of a molecule scale logic gate

    designed of primary importance was the de Silvas AND

    gate [75]. This molecule 40 (Fig. 10) displayed the prop-

    erty that two possible PET channels from the receptorsneeded to be suppressed if a strong fluorescence output

    was to be obtained. This was arranged by providing the

    two guest species that these two receptors were selec-

    tive. The amine unit required H+ (input 1) whereas the

    benzocrown ether moiety required Na+ (input 2).

    Using the above fluorophore-spacer1-receptor

    1-

    spacer2-receptor

    2 format several AND molecular logic

    gates were obtained [113-115]. An useful AND logic

    gate based nanobot for selective cellular acting agent in

    photodynamic therapy was demonstrated by Akkaya

    [115]. Photodynamic therapy is a noninvasive method-

    ology used for the treatment malignant tumors and age

    related macular degeneration. The cytotoxic agent thus

    produced within the target region is singlet oxygen. In

    the tumor tissues, the pH can be quite acidic, especially

    in the intracellular large acidic vacuoles (LAV) it can

    drop below 4, and intracellular sodium ion concentra-

    tion is also significantly higher (up to three times) than

    normal tissues. Thus, in the proposed logic system 41the chemical inputs are Na+ and H+ (Fig. 11).

    An OR gate performs the logic sum between

    Boolean variables; the output is 1 at least one of the

    inputs is 1. The OR gate requires a set of nonselective

    receptors gives a positive optical response upon cation

    binding. As a rule, the less selective receptors provide

    the operationally better OR action. In the first inten-

    tionally designed logic OR gate 42 Ca2+ and Mg2+ pro-

    duce essentially identical fluorescence enhancements

    Fig. 12. Chemical system 42 (P) which performs the OR logic operation under the action of two chemical inputs (Mg2+ and

    Ca2+) and the corresponding truth table.

    Fig. 13. Chemical system 43 (P) which performs the XOR logic operation under the action of two chemical inputs (I1and I

    2)

    and the corresponding truth table.

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    (Fig. 12) [34]. Fluorescence switching on in the pres-

    ence of Ca2+ or Mg2+ in sufficient concentrations to bind

    the receptor of42 arises because of an increased oxida-

    tion potential of the receptor and PET suppression.

    The XOR (exclusive-OR) gate acts in the sameway as the logical either/or. The output is true if

    either, but not both of the inputs are true. The output

    is false if both inputs are false or if both inputs are

    true. Another way of looking at this circuit is to ob-

    serve that the output is 1 if the inputs are different, but

    0 if the inputs are the same. XOR is the one of the

    hardest logic gate to proceed chemically. The first XOR

    gate design came from the laboratories of Balzani and

    Stoddart [116]. This used the ingenious strategy of acid-

    base neutralization as a means of achieving the required

    cancellation of inputs. The pseudorotaxane 43 results

    from self-assembly of the electron-accepting 2,7-

    dibenzyldiazapyrenium dication (Input 1) with the

    crown ether which contains two 2,3-dioxynaphthalene

    units (Input 2). Because of the electron donor/acceptor

    interaction, a low energy CT excited state is formed

    which is responsible for (i) the presence of a weak and

    broad absorption band and (ii) the disappearance of the

    strong fluorescence exhibited by two separated compo-

    nents (Fig. 13).

    The NOR gate is a combination of OR gate fol-

    lowed by an inverter. Its output is true if both inputs

    are false. Otherwise, the output is false. Fluorescence

    from 44 is switched off by Cu2+. Similar action of H+

    can also be seen (Fig. 14) [117].The XNOR (exclusive-NOR) gate is a combina-

    tion of XOR gate followed by an inverter. Its output is

    true if the inputs are the same and false if the in-

    puts are different.

    Since the receptor 45 shows optical sensing to-

    wards Fe3+ and F- ions, it was investigated the on-off

    switching behaviour of the receptor between Fe3+ and

    F- ions [118]. The addition of Fe3+ ions to the solution

    of receptor 45 leads to fluorescence quenching, that is,

    off-state. The addition of F- ions to the solution of

    45-Fe3+ complex (off-state), results in the revival of

    fluorescence emission (on-state). The revival in fluo-

    rescence emission with the addition of F- ion indi-

    cates that Fe3+ has more affinity for F- ions than with

    the receptor. The fluorescence was quenched again,

    that is, off-state when Fe3+ was titrated into the so-

    lution of45-Fe3+-F- complex. This reversible onoff

    switching process of receptor could not be observed

    with other anions indicating the high selectivity of45-

    Fe3+complex towards fluoride ion. Such fluorescence

    Fig. 14. NOR logic gate 44 with two chemical inputs (Cu2+

    and H+) and the corresponding truth table.

    Fig. 15. XNOR logic gate 45 with two chemical inputs (Fe3+

    and F-) and the corresponding truth table.

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    changes upon the actions of two chemical inputs mimic

    the performance of an exclusive-NOR (XNOR) logic

    gate (Fig. 15).

    A NAND logic gate can be understood as an

    integration of NOT and AND gates. It acts in the man-

    ner of the logical operation and followed by nega-

    tion. The output is false if both inputs are true.

    Otherwise, the output is true. Nice molecular example

    is compound 46 [119]. Addition of either inputs Fe2+

    or NOBF4

    individually has no effect on the emission

    and the fluorescent output of the gate remains high as

    output 1. Conversely, the presence of both Fe2+ and

    NOBF4

    inputs leads to fluorescence quench, which is

    due to the sequential quenching effect of Fe3+ from the

    oxidation of Fe2+ by NOBF4

    (Fig. 16).

    The INHIBIT gate involves a particular combina-

    tion of the logic functions AND and NOT. Gunnlaugsson

    et al. [120] produced the first two-input INHIBIT gate

    using a tetraazamacrocyclic Tb(III) complex47. This

    complex shows a high luminescence output only in an

    O2-free acidic solution, while all other combinations of

    inputs yield virtually no emission whatsoever. The bind-

    ing of H+

    to sensitizer unit of the tetraazamacrocyclicligand allows sufficient light absorption and subsequent

    electronic energy transfer (EET) to turn on the lumi-

    nescence of the metal, but only when O2

    has been re-

    moved to prevent triplet quenching (Fig. 17).

    Molecule logic based on multichannel inputs and mul-

    tichannel outputs

    Currently molecule devices that can perform more

    complex logical operation are on great inters. At present

    time were introduced various molecular sensors capable

    to execute more than one simultaneous logic operationdue to their multichannel inputs and/or multichannel

    outputs (color change and fluorescence variation) [121-

    126]. For instance compound 48 implement YES, NOT,

    OR, INH, NOR logic gates using H+, Cu2+, Zn2+, Hg2+,

    Ag+ as inputs [127] and compound 49 perform XOR,

    XNOR, AND using sodium dodecylsulfate as input

    [128] (Scheme 17).

    A key requirement of digital computers is the

    ability to use logical functions to perform arithmetic

    operations. The basis of this is addition. If we can add

    two binary numbers, we can just as easily subtract them,

    or get a little fancier and perform multiplication and

    division. Two one-bit binary numbers can be added with

    so called half adder. An electronic half-adder circuit

    has two inputs and two output channels which is the

    basis of number processing in most electronic comput-

    ers. Addition needs an AND logic gate for the carry

    digit and an XOR logic gate for the sum digit [129]. As

    shown in the truth table (Fig. 18), the four rows for a

    half-adder show binary addition of 0 (input A) and 0

    Fig. 16. NAND logic gate 46 with two chemical inputs (Fe2+

    and NOBF4) and the corresponding truth table.

    Fig. 17. INHIBIT logic gate 47 with two chemical inputs (H+

    and O2) and the corresponding truth table.

    Scheme 17. Multichannel molecular devices 48 and 49.

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    (input B) to give 00 (output), 0 and 1 to give 01, 1 and

    0 to give 01, 1 and 1 to give 10. In the more common

    decimal numbering these operations become the kin-

    dergarten classics: 0 + 0 = 0; 0 + 1 = 1; 1 + 0 = 1 and

    1 + 1 = 2 (the final sum is 2Carry+ Sum).

    Qian and coworkers demonstrated a simple mol-

    ecule 50 able to perform multiple logic functions (AND,

    NAND, OR, NOR, XNOR, INH, YES, NO, Pass 1,

    Pass 0) [130]. In absorption regime using 400 nm and

    425 nm as outputs and sodium dodecylsulfate as input

    compound 50 executes simultaneous XNOR and AND

    logic gates. For obtaining a half-adder the authors use

    the ingenious idea to transform absorption XNOR in

    the necessary XOR logic gate changing the absorption

    channel at 400 nm with the transmission. This logic

    inversion is possible due to the fact that the absorption

    is inverse proportion to the transmission (Fig. 18).

    The half-subtractor is a combinational circuit

    which is used to perform subtraction of two bits. Sub-

    traction needs INH logic for the borrow digit and XOR

    for the difference digit [131]. The truth table of the half-

    subtractor is presented in Fig. 19.

    Lu and Zong reported that a phenylalanine de-

    rivative 51 may be used as a fluorescent and absorption

    dual-modal sensor, which is highly sensitive and selec-

    tive to copper ion at physiological pH interval [132].

    Fig. 18. Half-adder 50 (AND and XOR logic gates) and corresponding truth table.

    Scheme 18. The four ionization states of Fluorescein 52.

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    Fig. 19. Half-subtractor 51 (INHIBIT and XOR logic gates) and corresponding truth table.

    Fig. 20. Truth tables for half-adder and half-subtractor based on Fluorescein 52.

    Furthermore, the authors pay attention to the use of its

    copper complex to acquire a half-subtractor with par-

    allel operating INHIBIT and XOR logic gates, by moni-

    toring fluorescence and absorbance as output signals,

    respectively (Fig. 19).

    Tree or more binary numbers can be added and

    subtract with combinational circuit full-adder and full-

    subtractor. Using commercially available fluorescein 52,

    acid and base inputs, integration of a full-adder and a

    full-subtractor is demonstrated in an even simpler man-

    ner by Margulies et al. [133]. Fluorescein is well known

    to exist in four ionization states (+1, 0, -1, -2) each

    with its own signature absorption spectrum (Scheme 18).

    Authors have expanded the operations of fluo-

    rescein to suggest the possibility of a molecular-scale

    calculator (a moleculator) with full-adder and full-

    subtractor capabilities. Previous ideas such as mutual

    annihilation of inputs, degeneracy of inputs, switching

    between positive and negative logic with absorbance and

    transmittance outputs are combined for the first time

    in this fine paper (Fig. 20).

    Two binary numbers can be compared using com-

    binational logic circuit called digital magnitude com-

    parator. In fact XOR and XNOR are able to compare

    binary numbers and give information are they equal, but

    not which is higher. Compound 53 can mimic the func-

    tion of digital magnitude comparators [134]. Starting from

    the neutral species with base (B) and acid (A) as two

    inputs, the fluorescent output at 410 nm is eq (equal)

    digit and the output at 550 nm is gt (greater than) digit

    (Fig. 21). With no or both inputs present, i.e. when B =

    A, the output eq is 1. When adding the base, i.e. B>A,

    the output gt is 1. The addition of an acid, i.e. B

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    logic operation. An electronic device recovers its ini-

    tial state immediately once electricity current is cut off.

    However, a molecular device retains its binding state

    even when the input signals are cut off, and thus pre-

    vents further operation, as the molecular system has been

    remaining in thermodynamic equilibrium with the in-

    put introduced. Therefore, the effect of the input sig-

    nals must be removed or neutralized to restore the ini-

    tial state of the molecular device, enabling the system

    to execute new logic operations [135].

    Usually, the resetting reagents are often intro-

    duced to recover the initial state of the molecular de-

    vices, the operation principle of which is based on the

    fact that the recognition reactions driving molecular logic

    devices, such as protonation, coordination, or redox

    reactions, are usually chemically reversible, which re-

    veals that the direction of recognition reaction can be

    reversed if some reagents are introduced to consume

    the previous input signals. According to this strategy,

    the protonated product can be reset to the initial state

    when an equivalent amount of base is introduced [136].

    A nice example of Reset function using EDTA

    (ethylenediaminetetraacetic acid) was demonstrated.

    EDTA is a good chelating agent which can be well co-

    ordinated with metal ions and its effect with some mo-

    lecular function systems have also been developed in

    recent years [137-140]. Wang et al. prepared a binaphthyl

    molecular device 54 capable to implement simultaneous

    AND and INH logic gates [137]. The logic gates were

    executed using Cu2+ and Zn2+ as inputs and absorption

    at 410 nm and emission at 500 nm as outputs (Fig. 22).

    Afterward, the addition of EDTA gradually re-

    covered both absorption and emission spectra to the

    original spectra of54, suggesting that the chemosensor

    could be returned to original state. Moreover, individual

    action of EDTA caused no obvious spectra change to

    the 54 solution, indicating that no structural changes

    could be generated by the addition of EDTA.

    Fig. 22. Binaphthyl-derived device 54 (AND and INH logic gates) with Reset function and corresponding truth table.

    Fig. 21. Digital comparator based on 8-hydroxyquinoline 53 and corresponding truth table.

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    CONCLUSIONS

    The realization of computing devices with ex-

    tremely small size and unprecedented performance is a

    strong motivation for the search of molecule-based in-

    formation processing. Recent literature is a testament to

    the general significance of logic interpretations based on

    supramolecular phenomena. The field has developed from

    simple switches to produce more complex molecular

    systems that are capable of performing a variety of clas-

    sical logic functions, including extensions to arithmetic

    devices such as half-adder, full-adder, half-subtractor,

    full-subtractor and digital magnitude comparator.

    Acknowledgements

    This work was supported by the National Science

    Foundation of Bulgaria (project DVU-10-0195). Authors

    also acknowledge the Science Foundation at the University

    of Chemical Technology and Metallurgy (Sofia, Bulgaria).

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