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Theoretical study on the molecular interaction between small ammonia nanotubes and coinage metals

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  2. Sc. Thesisin

Physical Chemistry

Theoretical study on the molecular interaction between small ammonia nanotubes and coinage metals

energy  of  small  ammonia  nanotubes  with  k-(NH3)n  (k=1,2,3;n=4,5)  stoichiometry  have  been  studied  using  M062X  level  of  calculation  in  conjunction  with  TZV  basis  set  and  the  counterpoise  procedure. Then,the  interactions  of  coinage  metals  (M=Cu, Ag, Au)  with  obtained  ammonia  nanotubes  have  been  investigated.The  products  of  these  interactionsare  metal-doped  complexes. For  n=4,  3-(NH3)4-M  structure  and  for  n=5,  2-(NH3)5-M  structure  yield  the  most  stable  complexes. Atoms  in  molecules  analysis  confirm  the  presence  of  N-M  interactions  in  the  systems. Binding  distances  and  topological  parameters  at  bond  critical  points  correlated  well  with  interaction  energies. Moreover,  natural  bond  analysis  imply  that  charge  transfer  force  plays  a  major  role  in  the  formation  of  complexes.

 

 

Contents

Page

Chapter 1

Introduction

1-1)Ammonia

11

1-2)Ammonia clusters

12

1-3)Nanotubes

15

1-4)Objective of the present research

16

Chapter 2

Literature review

19

 

Chapter 3

Theoretical background

3-1)Ab initio methods

23

3-2)Density functional theory(DFT)

24

3-3)Basis set

25

3-4)Basis set superposition errors(BSSEs)

26

3-5)Counterpoise correction including monomer deformation

28

3-6)Theory of atoms in molecules(AIM)

30

3-7)Natural bond orbital(NBO)

33

3-8)The pseudopotential approximation

36

3-9)Computational details of the present research

37

Chapter 4

Results and discussion

4-1)Ammonia nanotubes

40

4-1-1)Structure of ammonia nanotubes

40

4-1-2)Energetics of ammonia nanotubes

46

4-1-3)AIM analysis of ammonia nanotubes

50

4-2)Interaction of coinage metals with ammonia nanotubes

54

4-2-1) Geometrical structures

54

4-2-2)Energy of interaction with coinage metals

58

4-2-3)AIM analysis of the complexes between ammonia nanotubes and

         Coinage metals

63

4-2-4)Natural bond orbital (NBO) analysis

69

4-3)Conclusion

 

References

 

73

74

 

LIST OF TABLES

Tables

Page

Table 4-1.dintra , H-bond distances in layers; .dinter , H-bond distances between  layers;

43

Table4-2.CalculatedStabilization Energies (SE) and Inter-Ring Stabilization Energies (IRSE) for obtained ammonia nanotubes.

48

Table 4-3.AIM topological parameters:ρ, electron density;2ρ, Laplacian; at M062X/TZV level of  calculation.

53

Table 4-4. H-bond Strength (Δcom) at theM062X/TZV  level  of  calculation.

53

Table 4-5. Bond distance between nitrogen and metal (RN-M); bond angleof  hydrogen-nitrogen-metal  ( H-N-M).

57

Table 4-6.Binding energy(ΔEbind), BSSEs, deformation energy (Edef) and corrected interaction energy( at M062X/TZV level of calculation

61

Table4.7. Topological parameters at BCP of N-M (M=Cu, Ag, Au) calculated at M062X/TZV level. Parameters:ρ(r), electron density; ,Laplacian; H(r), electron energy density;  and|V(r)|/G(r), ratio of potential to kinetic electron energy density.

67

Table 4-8. Charge transfer (CT)  and NBO second-order interaction energy (E (2) )  for the corresponding donor-acceptor orbital interactions of copper with ammonia  nanotubes calculated at M062Xlevel.

70

Table 4-9. Charge transfer (CT)  and NBO second-order interaction energy (E (2) )  for the corresponding donor-acceptor orbital interactions of silver with ammonia  nanotubes calculated at M062X level.

71

Table 4-10. Charge transfer (CT)  and NBO second-order interaction energy (E (2) ) for the  corresponding donor-acceptor orbital interactions of gold with ammonia nanotubescalculated at M062X level.

72

LIST OF FIGURES

Figures

Page

Figure 4-1.Optimized geometries ofk-(NH3)4,k=1,2,3 nanotubes at M062X/TZVlevel. The dotted line represents the N-H….N  hydrogen bond.

44

Figure 4-2.Optimized geometries of  k-(NH3)5, k=1,2,3  nanotubes at M062X/TZV level. The dotted line represents  the N-H….N  hydrogen bond.

45

Figure 4-3.Calculated correctedSEs for k-(NH3)n nanotubes.

49

Figure 4-4.Calculated correctedIRSEs for k-(NH3)n nanotubes.

49

Figure 4-5.Optimized geometriesforthe interaction of coinage metals (M=Cu,Ag,Au) with  k-(NH3)4 nanotubes.

55

Figure 4-6.Optimized geometries for the interaction of coinage metals (M=Cu, Ag, Au) with k-(NH3)5nanotubes.

56

Figure 4-7.Calculated interaction energy of k-(NH3)4nanotubes, with M=Cu, Ag, Au.

62

Figure 4-8.Calculated interaction energy of k-(NH3)5 nanotubes,  with M=Cu, Ag, Au.

62

Figure 4-9. Calculated electron densityρ(r) at BCP of contact distance for

interaction of coinage metals with  k-(NH3)4  nanotubes.

68

Figure 4-10.Calculated electron densityρ(r)at BCP of contact distance for

interaction of coinage metals with  k-(NH3)5  nanotubes.

68

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