supporting information molecular reactivity dynamics in a ... · a and pratim kumar chattaraj* a...

22
1 Revised Manuscript ID: CP-ART-10-2012-043511 Supporting information Molecular Reactivity Dynamics in a Confined Environment Munmun Khatua a and Pratim Kumar Chattaraj* a a Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur 721302, West Bengal, India. * Author for correspondence: email : [email protected] GS ES Figure S1: Time evolution of chemical hardness (η) during a collision process between H + and N 2 molecule in ground state (GS) and excited state (ES) in a confined environment (length of cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES). Electronic Supplementary Material (ESI) for Physical Chemistry Chemical Physics This journal is © The Owner Societies 2013

Upload: others

Post on 04-Oct-2020

6 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

1

Revised Manuscript ID: CP-ART-10-2012-043511

Supporting information

Molecular Reactivity Dynamics in a Confined Environment

Munmun Khatuaa and Pratim Kumar Chattaraj*

a

aDepartment of Chemistry and Center for Theoretical Studies,

Indian Institute of Technology Kharagpur,

Kharagpur 721302, West Bengal, India.

*Author for correspondence: email : [email protected]

GS

ES

Figure S1: Time evolution of chemical hardness (η) during a collision process between H+ and

N2 molecule in ground state (GS) and excited state (ES) in a confined environment (length of

cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 2: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

2

GS

ES

Figure S2: Time evolution of polarizability (α) during a collision process between H+ and N2

molecule in ground state (GS) and excited state (ES) in a confined environment (length of

cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 3: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

3

GS

ES

Figure S3: Plots of ηmax vs. length of cylinder and αmin vs. length of cylinder during a collision

process between H+ and N2 molecule in GS and ES.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 4: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

4

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S4: Time evolution of chemical hardness (η) when N2 molecule in ground state (GS) and

first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 5: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

5

ε0=0.01 ε0=100

GS

ES

Figure S5: Plot of η(t = 2) vs. length of cylinder when N2 molecule in GS and in first ES is

placed in an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 6: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

6

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S6: Time evolution of polarizability (α) when N2 molecule in ground state (GS) and first

excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 7: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

7

ε0=0.01 ε0=100

GS

ES

Figure S7: Plot of αmin vs. length of cylinder when N2 molecule in GS and in first ES is placed in

an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 8: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

8

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S8: Time evolution of chemical potential (µ) when N2 molecule in ground state (GS) and

first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 9: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

9

ε0=0.01 ε0=100

GS

ES

Figure S9: Plot of µ(t = 2) vs. length of cylinder and µ(amp) vs. length of cylinder when N2 molecule in GS and in first ES is placed in

an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 10: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

10

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S10: Time evolution of electrophilicity index (ω) when N2 molecule in ground state (GS)

and first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 11: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

11

ε0=0.01 ε0=100

GS

ES

Figure S11: Plot of ω(t = 2) vs. length of cylinder and ω(amp) vs. length of cylinder when N2 molecule in GS and in first ES is placed

in an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 12: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

12

GS

O side

attack

C side

attack

ES.

O side

attack

C side

attack

Figure S12: Time evolution of chemical hardness (η) during a collision process between H+ and

CO molecule in ground state (GS) and excited state (ES) in a confined environment (length of

cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 13: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

13

GS

O side

attack

C side

attack

ES.

O side

attack

C side

attack

Figure S13: Time evolution of polarizability (α) during a collision process between H+ and CO

molecule in ground state (GS) and excited state (ES) in a confined environment (length of

cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 14: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

14

O side attack C side attack

GS

ES

Figure S14: Plots of ηmax vs. length of cylinder and αmin vs. length of cylinder during a collision process between H+ and CO molecule

in GS and ES.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 15: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

15

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S15: Time evolution of chemical hardness (η) when CO molecule in ground state (GS)

and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 16: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

16

ε0=0.01 ε0=100

GS

ES

Figure S16: Plot of η(t = 2) vs. length of cylinder when CO molecule in GS and ES is placed in

an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 17: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

17

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S17: Time evolution of polarizability (α) when CO molecule in ground state (GS) and

excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 18: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

18

ε0=0.01 ε0=100

GS

ES

Figure S18: Plot of αmin vs. length of cylinder when CO molecule in GS and ES is placed in an

external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 19: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

19

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S19: Time evolution of chemical potential (µ) when CO molecule in ground state (GS)

and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 20: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

20

ε0=0.01 ε0=100

GS

ES

Figure S20: Plot of µ(t = 2) vs. length of cylinder and µ(amp) vs. length of cylinder when CO molecule in GS and ES is placed in an

external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 21: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

21

GS

ε0=0.01

ε0=100

ES.

ε0=0.01

ε0=100

Figure S21: Time evolution of electrophilicity index (ω) when CO molecule in ground state (GS)

and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and

frequency ω0 = π.

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013

Page 22: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology

22

ε0=0.01 ε0=100

GS

ES

Figure S22: Plot of ω(t = 2) vs. length of cylinder and ω(amp) vs. length of cylinder when CO molecule in GS and ES is placed in an

external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).

Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013