
CONTRIBUTED ARTICLE
7. Normal Coordinate Analysis of
Acetone Methanesulfonylhydrazone
Nicolay I. Dodoff
Institute of Molecular Biology,
Bulgarian Academy of Sciences,
Acad. G. Bonchev Street,
Block 21, 1113 Sofia,
Bulgaria.
E-mail: dodoff@bas.bg
Abstract

| An assignment of the solid-state IR spectrum of acetone
methanesulfonylhydrazone in the range of 4000-150 cm-1 has been proposed on the
basis of a normal coordinate analysis of a single molecule. The harmonic general valence
force field has been applied. The geometry of the lowest-energy conformation as found by
molecular mechanics method has been used. |
Key words

Acetone methanesulfonylhydrazone, IR spectra, Normal coordinate analysis, Molecular
mechanics.
Introduction

Methanesulfonamide derivatives [1-4], as well as compounds
containing hydrazine or hydrazone residue [5] are of interest in pharmacology, and
especially, in cancer chemotherapy. Recently [6] we have prepared and studied a series of
azomethine derivatives of methanesulfonylhydrazine which exhibit antibacterial and
cytostatic activity. Acetone methanesulfonylhydrazone, (CH3)2C=NNHS(O)2CH3
(AMSH) has been described in the literature [7] but has not been characterized
spectroscopically. In [6] we proposed a qualitative interpretation of the spectrum of AMSH
in the mid IR region. Here we present a more reliable assignment of the mid and far IR
bands of this compound, based on normal coordinate analysis (NCA).
Experimental

Methanesulfonylhydrazine was prepared according to [7]. The remaining
chemicals were commercial products.
AMSH was prepared from acetone and methanesulfonylhydrazine as
described in [7]. M. p. 120oC (Boetius microscope; uncorrected). TLC (silica
gel on glass; benzene-acetone-methanol, 5:5:2): Rf=0.90±
0.03. 1H NMR (Bruker WM-400 spectrometer, 400 MHz; DMSO-d6 solution;
internal standard TMS): 1.82, s, 3H, 1.92, s, 3H ((CH3)2C=N); 2.95,
s, 3H (CH3S); 9.40, s, 1H (NH).
The IR spectrum of AMSH was recorded as a CsI disk on a Bruker IFS113
spectrometer in the range of 4000-150 cm-1.
Molecular mechanical calculations were carried out with the PCMODEL 4
programme [8] which utilizes the MMX parameter set based on the Allinger MM2 force field
[9].
The normal coordinate analysis of a single AMSH molecule within a
harmonic generalized valence force field was reformed by the MOLVIB 6 programme of T.
Sundius [10-12].
Results and Discussion

In [6] we studied the conformational isomerism of AMSH and other
azomethine derivatives of methanesulfonylhydrazine by means of the molecular mechanical
method. In Figure 1 the structure of the lowest-energy conformation of AMSH is depicted
(there is another isoenergetic structure which is a mirror image of that shown), and its
geometric parameters are collected in Table 1. The kinematic coefficient G matrix was
calculated from this geometry.

| Figure 1. Molecular mechanics derived lowest-energy
conformation of AMSH with the atom labelling scheme. |
Bond lengths, Å |
| H(1)C(1) |
1.113 |
H(2)C(1) |
1.113 |
H(3)C(1) |
1.113 |
C(1)S |
1.782 |
| SO(1) |
1.433 |
SO(2) |
1.433 |
SN(1) |
1.642 |
H(4)N(1) |
0.959 |
| N(1)N(2) |
1.423 |
N(2)C(3) |
1.275 |
C(2)C(3) |
1.506 |
C(4)C(3) |
1.505 |
| H(5)C(2) |
1.114 |
H(6)C(2) |
1.114 |
H(7)C(2) |
1.113 |
H(8)C(4) |
1.114 |
| H(9)C(4) |
1.114 |
H(10)C(4) |
1.114 |
|
|
|
|
Bond angles, deg |
| H(1)C(1)H(2) |
109 |
H(1)C(1)H(3) |
109 |
| H(2)C(1)H(3) |
109 |
H(1)C(1)S |
110 |
| H(2)C(1)S |
110 |
H(3)C(1)S |
110 |
| C(1)SN(1) |
110 |
C(1)SO(1) |
108 |
| C(1)SO(2) |
108 |
O(1)SO(2) |
117 |
| O(1)SN(1) |
106 |
O(2)SN(1) |
107 |
| SN(1)H(4) |
118 |
SN(1)N(2) |
120 |
| H(4)N(1)N(2) |
120 |
N(1)N(2)C(3) |
124 |
| N(2)C(3)C(2) |
123 |
N(2)C(3)C(4) |
120 |
| C(2)C(3)C(4) |
118 |
H(5)C(2)C(3) |
111 |
| H(6)C(2)C(3) |
110 |
H(7)C(2)C(3) |
112 |
| H(5)C(2)H(6) |
109 |
H(5)C(2)H(7) |
108 |
| H(6)C(2)H(7) |
108 |
H(8)C(4)C(3) |
112 |
| H(9)C(4)C(3) |
110 |
H(10)C(4)C(3) |
110 |
| H(8)C(4)H(9) |
108 |
H(8)C(4)H(10) |
108 |
| H(9)C(4)H(10) |
109 |
|
|
Torsional angles, deg |
| H(1)C(1)SN(1) |
-172 |
H(1)C(1)SO(1) |
-57 |
| H(1)C(1)SO(2) |
71 |
H(2)C(1)SN(1) |
68 |
| H(2)C(1)SO(1) |
-176 |
H(2)C(1)SO(2) |
-49 |
| H(3)C(1)SN(1) |
-52 |
H(3)C(1)SO(1) |
63 |
| H(3)C(1)SO(2) |
-169 |
C(1)SN(1)H(4) |
162 |
| C(1)SN(1)N(2) |
-35 |
O(1)SN(1)H(4) |
44 |
| O(1)SN(1)N(2) |
-152 |
O(2)SN(1)H(4) |
-81 |
| O(2)SN(1)N(2) |
83 |
H(4)N(1)N(2)C(3) |
-7 |
| SN(1)N(2)C(3) |
-171 |
N(1)N(2)C(3)C(2) |
0 |
| N(1)N(2)C(3)C(4) |
180 |
H(5)C(2)C(3)C(4) |
122 |
| H(5)C(2)C(3)N(2) |
-58 |
H(6)C(2)C(3)C(4) |
-117 |
| H(6)C(2)C(3)N(2) |
62 |
H(7)C(2)C(3)C(4) |
2 |
| H(7)C(2)C(3)N(2) |
-178 |
H(8)C(4)C(3)C(2) |
-179 |
| H(8)C(4)C(3)N(2) |
1 |
H(9)C(4)C(3)C(2) |
-60 |
| H(9)C(4)C(3)N(2) |
121 |
H(10)C(4)C(3)C(2) |
60 |
| H(10)C(4)C(3)N(2) |
-119 |
|
|
| Table 1.Geometric parameters for the lowest-energy
conformation of AMSH. Atom labeling is according to Figure 1. |
The assignment of the IR bands of AMSH was made taking
into consideration the data available for other compounds containing appropriate
structural fragments: vis. methanesulfonylhydrazine [13], the methanesulfonamides
[14-17] and other methanesulfonyl derivatives [18-22]; acetone [23] and compounds
containing the (CH3)2C=X (X = N, O, C) residue [24-26].
The experimental wave numbers and the NCA results are collected
together in Table 2, and the optimized force field is defined in Table 3. To overcome the
deficiency in the experimental wave numbers with respect to the number of F matrix
elements, the values of some force constants were not varied during the optimization
procedure. As seen from Table 2, the agreement between the experimental and calculated
wave numbers is good, the RMS error being 1.3%. The largest deviation (150 vs. 137
cm-1) concerns the d(SNN) mode, but this band should
fall below 150 cm-1,
i.e. outside the range of our spectrometer. Because of instrumental restrictions,
the lowest-frequency vibrations, corresponding to t(SN) and t(NN) were not observed. The
calculated wave numbers of these modes were obtained by giving the force constants for the
torsions around the SN and NN bonds a value similar to that of the force constant of the
SN torsion from the normal coordinate analysis (NCA) of methanesulfonylhydrazine [13]. The
classification of the vibrational modes into types like
nas, ns, w, r etc. was confirmed by checking
the signs of the corresponding L matrix elements. As seen from the potential energy
distribution (PED) (Table 2), some of the vibrational modes are quite mixed, and they
could only very approximately be regarded as localized vibrations.
The direct comparison between the AMSH force constants obtained and the literature data
for some related molecules [16, 19-22] is not justified, because of the differently
defined force fields used by other authors. The force constants for the CH3S(O)2NHN
fragment of AMSH are, however, in agreement with that found by us from the normal
coordinate analysis of methanesulfonylhydrazine [13].
The splitting observed for some IR bands (Table II) should be
attributed to solid state effects. We could not comment on this feature in detail, because
of the lack of crystal structure data for AMSH. It should be mentioned, however, that in
all cases, except the doublet at 1654 and 1640 cm-1, the splitting concerns
bands corresponding to vibrations involving the NH and SO2 groups, thus
implying the presence of hydrogen bonding in the solid state.
Experimental |
Calcd. |
Relative error, % |
PED, %a |
Assignment |
- |
49 |
- |
46 t(SN), 31 t(NN), 15 t(NC) |
t(SN)b |
- |
71 |
- |
38 t(NN), 24 t(SN), 19 p(N), 11p(C) |
t(NN) |
| 150wc |
137 |
8.67 |
38 SNN, 38 CNN |
d(SNN) |
| 170w |
171 |
-0.59 |
96 t(CS) |
t(CS) |
| 201w |
201 |
0.00 |
89 t(CC) |
t(CC) |
| 209w |
207 |
0.96 |
99 t(CC) |
t(CC) |
| 225w |
227 |
-0.89 |
25 NNC, 19 SN, 10 SNN |
d(NNC) |
| 243w |
246 |
-1.23 |
65 p(C) |
p(CC2) |
| 320m |
318 |
0.63 |
33 NSO, 30 CSN, 10 NN |
d(CSN) |
| 370m |
364 |
1.62 |
26 t(NC), 20 p(C), 20 CSO, 16 NSO |
t(NC) |
| 382m |
388 |
-1.57 |
43 CSO, 27 t(NC), 10 NSO |
t(SO2) |
| 412w |
415 |
-0.73 |
31 CSO, 24 NSO, 13 CSN |
r(SO2) |
| 450w 457d
464sh |
453 |
0.88 |
31 CSO, 29 NSO, 11 CCC |
w(SO2) |
| 492m |
492 |
0.00 |
28 OSO, 25 CCC, 13 NCC, 13 CSO |
d(CC2) |
| 517sh 521d
525m |
521 |
0.00 |
35 OSO, 12 SNN, 11 CCC, 10 NCC |
d(SO2) |
| 567m |
566 |
0.18 |
35 NCC, 19 CC, 14 NSO, 10 NNC |
d(NCC) |
| 652m |
654 |
-0.31 |
48 p(N), 14 t(NN), 11 NSO |
p(NH) |
| 770m |
770 |
0.00 |
40 CS, 18 SN, 10 CC |
n(CS) |
| 819m |
819 |
0.00 |
47 CC, 16 SN, 11 NC |
ns(CC2) |
| 914m |
914 |
0.00 |
33 SN, 16 HCS, 10 CC, 10 CS |
n(SN) |
| 974s |
972 |
0.21 |
41 HCC', 33 CC |
r(CH3)C |
- |
973 |
- |
81 HCS |
r(CH3)S |
| 990sh |
990 |
0.00 |
68 HCS |
r(CH3)S |
- |
1012 |
- |
47 HCC'', 43 HCC' |
r(CH3)C |
| 1018w |
1018 |
0.00 |
57 HCC'' |
r(CH3)C |
| 1078sh |
1078 |
0.00 |
45 HCC', 40 HCC'' |
r(CH3)C |
| 1094m |
1094 |
0.00 |
38 NN, 22 HCC', 12 CC |
n(NN) |
| 1152s 1162d
1172s |
1162 |
0.00 |
78 SO |
ns(SO2) |
| 1273m |
1273 |
0.00 |
31 CC, 19 NCC, 12 HCC", 11 HCC' |
nas(CC2) |
| 1320sh |
1320 |
0.00 |
49 HCS, 32 HCH, 14 CS |
ds(CH3)S |
| 1330s |
1330 |
0.00 |
89 SO |
nas(SO2) |
| 1369m |
1368 |
0.07 |
27 HCC', 26 HCC'', 21 HCH', 20 HCH'' |
ds(CH3)C |
| 1397sh |
1396 |
0.07 |
29 HNN, 28 HNS |
d(NH) |
| 1403m |
1404 |
-0.07 |
16 HCH'', 14 HCC', 13 HCH', 11 HCC'' |
ds(CH3)C |
- |
1424 |
- |
85 HCH, 11 HCS |
das(CH3)S |
| 1425m |
1425 |
0.00 |
83 HCH, 11 HCS |
das(CH3)S |
- |
1429 |
- |
50 HCH'', 37 HCH' |
das(CH3)C |
- |
1432 |
- |
47 HCH', 32 HCH'' |
das(CH3)C |
| 1434sh |
1434 |
0.00 |
65 HCH', 23 HCH'' |
das(CH3)C |
| 1440sh |
1440 |
0.00 |
64 HCH'', 21 HCH' |
das(CH3)C |
| 1654m 1647d
1640sh |
1652 |
-0.30 |
57 NC, 12 CC |
n(NC) |
| 2925w |
2925 |
0.00 |
64 CH'', 35 CH' |
ns(CH3)C |
- |
2926 |
- |
65 CH', 35 CH'' |
ns(CH3)C |
| 2934w |
2934 |
0.00 |
100 CH |
ns(CH3)S |
- |
2996 |
- |
70 CH', 29 CH'' |
nas(CH3)C |
- |
2997 |
- |
99 CH'' |
nas(CH3)C |
- |
2998 |
- |
100 CH' |
nas(CH3)C |
| 2999m |
2999 |
0.00 |
70 CH'', 29 CH' |
nas(CH3)C |
- |
3019 |
- |
100 CH |
nas(CH3)S |
| 3019w |
3019 |
0.00 |
100 CH |
nas(CH3)S |
| 3154m 3185d
3215m |
3185 |
0.00 |
100 NH |
n(NH) |
Table 2. Experimental and calculated wave numbers (cm-1)
of the fundamental vibrations of AMSH
aPotential energy distribution; the components less than 10% are omitted.
bNotations: as - antisymmetric, s - symmetric, t - torsional, d - bending, n - stretching, p - out-of-plane bending, r - rocking, t - twisting, w - wagging.
cAbbreviations: m - medium, s - strong, sh - shoulder, w - weak.
dThe averaged of the pair of wave numbers. |
Internal coodinatea |
Force constantb |
Notation |
Definition |
|
| |
Stretching |
|
| CH |
C(1)H(1), C(1)H(2), C(1)H(3) |
4.883c |
| CS |
C(1)S |
4.212 |
| SN |
SN(1) |
4.212 |
| SO |
SO(1), SO(2) |
9.196c |
| NH |
N(1)H(4) |
5.600c |
| NN |
N(1)N(2) |
4.547 |
| NC |
N(2)C(3) |
6.911 |
| CC' |
C(2)C(3) |
4.366 |
| CC'' |
C(4)C(3) |
4.366 |
| CH' |
C(2)H(5), C(2)H(6), C(2)H(7) |
4.867c |
| CH'' |
C(4)H(8), C(4)H(9), C(4)H(10) |
4.867c |
| |
In-plane bending |
|
| HCH |
H(1)C(1)H(2), H(1)C(1)H(3), H(2)C(1)H(3) |
0.429 |
| HCS |
H(1)C(1)S, H(2)C(1)S, H(3)C91)S |
0.693 |
| CSO |
C(1)SO(1), C(1)SO(2) |
1.415 |
| NSO |
N(1)SO(1), N(1)SO(2) |
1.415 |
| OSO |
O(1)SO(2) |
1.468 |
| CSN |
C(1)SN(1) |
1.179 |
| SNN |
SN(1)N(2) |
1.196 |
| HNS |
H(4)N(1)S |
0.492 |
| HNN |
H(4)N(1)N(2) |
0.492 |
| NNC |
N(1)N(2)C(3) |
1.260 |
| NCC' |
N(2)C(3)C(2) |
1.564 |
| NCC'' |
N(2)C(3)C(4) |
1.564 |
| CCC |
C(2)C(3)C(4) |
1.476 |
| HCC' |
H(5)C(2)C(3), H(6)C(2)C(3), H(7)C(2)C(3) |
0.733 |
| HCC'' |
H(8)C(4)C(3), H(9)C(4)C(3), H(10)C(4)C(3) |
0.733 |
| HCH' |
H(5)C(2)H(6), H(5)C(2)H(7), H(6)C(2)H(7) |
0.518 |
| HCH'' |
H(8)C(4)H(9), H(8)C(4)H(10), H(9)C(4)H(10) |
0.518 |
| |
Out-of-plane bending |
|
| p(N) |
at N(1) |
0.081c |
| p(C) |
at C(2) |
0.105c |
| |
Torsional |
|
| t(CS) |
around C(1)S |
0.055c |
| t(SN) |
around SN(1) |
0.098c |
| t(NN) |
around N(1)N(2) |
0.098c |
| t(NC) |
around N(2)C(3) |
0.400c |
| t(CC) |
around C(2)C(3), around C(4)C(3) |
0.080c |
| |
Off-diagonal |
|
| CH-CH |
|
0.031 |
| CS-SN |
|
0.296 |
| SO-SO |
|
0.056 |
| SN-NN |
|
0.119 |
| CC'-CC'' |
|
0.588 |
| CH'-CH' |
|
0.038 |
| CH''-CH'' |
|
0.038 |
| NN-HNN |
|
0.055 |
| CC'-NCC' |
|
0.317 |
| CC''-NCC'' |
|
0.317 |
| CC'-HCC' |
|
0.405 |
| CC''-HCC'' |
|
0.405 |
| HC'-HCC' |
|
0.049 |
| HC''-HCC'' |
|
0.049 |
| HC'-HCH' |
|
0.160 |
| HC''-HCH'' |
|
0.160 |
| HCH-HCH |
|
-0.106 |
| HCS-HCS |
|
0.013 |
| CSO-CSO |
|
0.170 |
| CSO-NSO |
|
0.170 |
| NSO-NSO |
|
0.170 |
| CSO-CSN |
|
-0.157 |
| NSO-CSN |
|
-0.157 |
| CSN-SNN |
|
0.345 |
| HNS-HNN |
|
0.054 |
| NNC-NCC' |
|
0.275 |
| NNC-NCC'' |
|
-0.077 |
| CCC-NCC' |
|
0.089 |
| CCC-NCC'' |
|
0.089 |
| HCH'-HCH' |
|
-0.026 |
| HCH''-HCH'' |
|
-0.026 |
| p(N)-t(NN) |
|
0.020c |
| p(C)-t(NC) |
|
-0.071c |
Table 3. Internal coordinates and optimized
force constants for AMSH.
aAtom numbering according to Figure 1.
bUnits: mdyn·Å-1 - stretching and off-diagonal
stretching-stretching; mdyn·Å·rad-2 - bending and off-diagonal
bending-bending; mdin·rad-1 - off-diagonal stretching-bending.
cKept constant during optimization. |
Conclusion

As can be seen in Table 2, we have been able to assign the infrared absorption
spectrum of acetone methanesulphonylhydrazone between 40000 and 150cm-1
and to calculate the frequencies of vibration very clearly. Differences between the
calculated and experimental values are at worst only a few wavenumbers. Allowing for the
fact that the experimental results were recorded on the crystalline solid whereas the
calculated values assumed the molecule was isolated we consider the agreement to be
satisfactory.
Acknowledgement

The author thanks the UNECSO Global Network for Molecular and Cell
Biology (MCBN) for the financial support (Grant No 436).
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Received 22nd September 1999, received in revised format 23rd
September, accepted 28th September 1999
REF: Dodoff N.I., Internet J. Vib. Spec.[www.ijvs.com]
3, 4, 7 (1999)

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