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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: LSDA/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/6-31G(2df,p)
 hartrees
Energy at 0K-264.100195
Energy at 298.15K-264.107890
Nuclear repulsion energy226.006606
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at LSDA/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3577 3520 41.99      
2 A 3217 3166 0.59      
3 A 3183 3132 3.64      
4 A 3104 3054 0.51      
5 A 3039 2990 7.57      
6 A 2975 2927 21.97      
7 A 1585 1560 42.71      
8 A 1505 1481 1.61      
9 A 1464 1440 11.60      
10 A 1407 1384 8.92      
11 A 1399 1377 1.52      
12 A 1389 1367 26.08      
13 A 1337 1315 1.02      
14 A 1265 1245 12.89      
15 A 1190 1171 2.51      
16 A 1113 1095 7.95      
17 A 1083 1066 26.22      
18 A 1010 994 3.18      
19 A 980 964 8.63      
20 A 931 916 0.40      
21 A 906 891 3.83      
22 A 820 806 10.62      
23 A 701 690 20.02      
24 A 685 674 1.42      
25 A 682 671 12.19      
26 A 638 628 17.03      
27 A 557 548 59.78      
28 A 333 327 5.26      
29 A 249 245 4.82      
30 A 83 82 0.23      

Unscaled Zero Point Vibrational Energy (zpe) 21203.2 cm-1
Scaled (by 0.984) Zero Point Vibrational Energy (zpe) 20863.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at LSDA/6-31G(2df,p)
ABC
0.29936 0.12188 0.08806

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.091 -0.025 0.000
H2 2.498 0.486 0.891
H3 2.462 -1.059 -0.001
H4 2.498 0.487 -0.890
N5 -0.164 1.043 0.000
H6 0.162 2.004 -0.000
C7 0.619 -0.069 -0.000
N8 -0.123 -1.154 0.000
C9 -1.417 -0.726 0.000
H10 -2.250 -1.427 0.000
C11 -1.471 0.642 -0.000
H12 -2.293 1.352 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10411.09911.10412.49492.79931.47262.48583.57754.56223.62364.5950
H21.10411.78401.78022.86182.92502.15193.21764.19385.19594.07054.9494
H31.09911.78401.78413.36343.83042.09192.58653.89304.72624.28445.3310
H41.10411.78021.78412.86132.92362.15193.21834.19425.19644.07024.9489
N52.49492.86183.36342.86131.01561.35962.19732.16733.23281.36682.1511
H62.79932.92503.83042.92361.01562.12273.17153.15404.19462.12692.5403
C71.47262.15192.09192.15191.35962.12271.31512.13963.17472.20733.2401
N82.48583.21762.58653.21832.19733.17151.31511.36302.14452.24533.3151
C93.57754.19383.89304.19422.16733.15402.13961.36301.08901.36852.2550
H104.56225.19594.72625.19643.23284.19463.17472.14451.08902.21072.7795
C113.62364.07054.28444.07021.36682.12692.20732.24531.36852.21071.0866
H124.59504.94945.33104.94892.15112.54033.24013.31512.25502.77951.0866

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.457 C1 C7 N8 126.082
H2 C1 H3 108.147 H2 C1 H4 107.451
H2 C1 C7 112.475 H3 C1 H4 108.149
H3 C1 C7 107.984 H4 C1 C7 112.476
N5 C7 N8 110.461 N5 C11 C9 104.812
N5 C11 H12 122.103 H6 N5 C7 126.075
H6 N5 C11 125.810 C7 N5 C11 108.114
C7 N8 C9 106.040 N8 C9 H10 121.590
N8 C9 C11 110.573 C9 C11 H12 133.085
H10 C9 C11 127.837
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.613      
2 H 0.164      
3 H 0.192      
4 H 0.164      
5 N -0.230      
6 H 0.285      
7 C 0.288      
8 N -0.221      
9 C -0.145      
10 H 0.131      
11 C -0.165      
12 H 0.150      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.568 3.488 -0.001 3.534
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.563 0.505 -0.000
y 0.505 -33.207 -0.002
z -0.000 -0.002 -36.978
Traceless
 xyz
x 4.530 0.505 -0.000
y 0.505 0.563 -0.002
z -0.000 -0.002 -5.093
Polar
3z2-r2-10.186
x2-y22.644
xy0.505
xz-0.000
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.583 0.109 0.000
y 0.109 8.268 -0.000
z 0.000 -0.000 4.596


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000