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

using model chemistry: LSDA/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-264.187481
Energy at 298.15K-264.195188
Nuclear repulsion energy226.372804
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/cc-pVTZ
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 3556 3517 43.61      
2 A 3199 3164 0.31      
3 A 3167 3132 3.40      
4 A 3085 3051 0.36      
5 A 3023 2990 7.30      
6 A 2965 2932 22.11      
7 A 1580 1563 43.81      
8 A 1499 1483 1.64      
9 A 1457 1441 10.98      
10 A 1404 1389 9.56      
11 A 1392 1377 0.74      
12 A 1385 1370 31.22      
13 A 1338 1323 1.03      
14 A 1262 1248 14.34      
15 A 1185 1172 2.79      
16 A 1110 1098 7.87      
17 A 1076 1064 28.43      
18 A 1012 1001 2.32      
19 A 981 970 8.24      
20 A 930 920 0.63      
21 A 911 902 3.56      
22 A 840 831 7.87      
23 A 705 698 37.74      
24 A 684 677 1.03      
25 A 684 677 13.77      
26 A 641 634 10.20      
27 A 553 547 65.86      
28 A 337 333 5.53      
29 A 247 245 5.71      
30 A 73 73 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21139.8 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 20909.3 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/cc-pVTZ
ABC
0.30093 0.12213 0.08832

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.089 -0.025 -0.000
H2 2.492 0.483 0.889
H3 2.458 -1.057 -0.001
H4 2.492 0.485 -0.888
N5 -0.165 1.042 0.000
H6 0.159 2.004 -0.000
C7 0.620 -0.067 -0.000
N8 -0.122 -1.149 0.000
C9 -1.415 -0.726 0.000
H10 -2.246 -1.426 0.000
C11 -1.470 0.638 -0.000
H12 -2.296 1.341 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10101.09601.10102.49372.80011.46952.48003.57344.55623.61994.5933
H21.10101.77971.77762.85702.92322.14443.20764.18565.18574.06334.9453
H31.09601.77971.77973.35933.82802.08792.58123.88744.71904.27805.3251
H41.10101.77761.77972.85652.92172.14443.20824.18605.18634.06304.9448
N52.49372.85703.35932.85651.01541.35822.19142.16463.22831.36552.1523
H62.80012.92323.82802.92171.01542.12123.16573.15094.18952.12552.5434
C71.46952.14442.08792.14441.35822.12121.31232.13913.17252.20543.2385
N82.48003.20762.58123.20822.19143.16571.31231.36132.14292.23913.3066
C93.57344.18563.88744.18602.16463.15092.13911.36131.08721.36492.2468
H104.55625.18574.71905.18633.22834.18953.17252.14291.08722.20582.7678
C113.61994.06334.27804.06301.36552.12552.20542.23911.36492.20581.0852
H124.59334.94535.32514.94482.15232.54343.23853.30662.24682.76781.0852

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 123.691 C1 C7 N8 126.030
H2 C1 H3 108.208 H2 C1 H4 107.661
H2 C1 C7 112.279 H3 C1 H4 108.210
H3 C1 C7 108.058 H4 C1 C7 112.281
N5 C7 N8 110.280 N5 C11 C9 104.889
N5 C11 H12 122.452 H6 N5 C7 126.061
H6 N5 C11 125.803 C7 N5 C11 108.136
C7 N8 C9 106.265 N8 C9 H10 121.735
N8 C9 C11 110.431 C9 C11 H12 132.659
H10 C9 C11 127.835
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 H 0.120      
3 H 0.134      
4 H 0.120      
5 N -0.056      
6 H 0.156      
7 C 0.075      
8 N -0.172      
9 C -0.130      
10 H 0.119      
11 C -0.149      
12 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.600 3.546 -0.001 3.596
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.007 0.583 -0.000
y 0.583 -34.145 -0.002
z -0.000 -0.002 -37.984
Traceless
 xyz
x 5.058 0.583 -0.000
y 0.583 0.350 -0.002
z -0.000 -0.002 -5.408
Polar
3z2-r2-10.816
x2-y23.139
xy0.583
xz-0.000
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.362 0.021 0.000
y 0.021 9.032 -0.000
z 0.000 -0.000 5.583


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