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

using model chemistry: wB97X-D/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-265.537150
Energy at 298.15K-265.544915
HF Energy-265.537150
Nuclear repulsion energy225.812807
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 wB97X-D/TZVP
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 3707 3540 58.43      
2 A 3308 3159 1.41      
3 A 3279 3131 4.88      
4 A 3180 3037 3.51      
5 A 3124 2984 15.76      
6 A 3064 2926 26.96      
7 A 1626 1553 44.84      
8 A 1544 1474 7.36      
9 A 1516 1448 5.46      
10 A 1489 1422 10.47      
11 A 1462 1397 45.82      
12 A 1429 1365 0.15      
13 A 1405 1342 0.99      
14 A 1290 1232 15.32      
15 A 1200 1146 6.14      
16 A 1150 1099 4.22      
17 A 1115 1065 31.05      
18 A 1070 1022 0.83      
19 A 1018 972 8.36      
20 A 978 934 3.37      
21 A 941 899 2.17      
22 A 890 850 9.39      
23 A 749 715 56.12      
24 A 695 663 2.44      
25 A 688 657 0.67      
26 A 649 620 14.33      
27 A 536 512 71.88      
28 A 352 336 5.40      
29 A 250 239 5.97      
30 A 48 46 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 21875.4 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 20891.0 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 wB97X-D/TZVP
ABC
0.30046 0.12095 0.08765

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.104 -0.024 0.000
H2 2.491 0.486 0.885
H3 2.479 -1.045 -0.001
H4 2.491 0.488 -0.884
N5 -0.166 1.044 -0.000
H6 0.158 1.994 -0.001
C7 0.618 -0.069 -0.000
N8 -0.120 -1.152 -0.000
C9 -1.423 -0.723 -0.000
H10 -2.243 -1.421 -0.000
C11 -1.479 0.636 0.000
H12 -2.298 1.333 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09241.08791.09242.50872.80321.48742.49433.59564.56673.64314.6067
H21.09241.76911.76972.85602.91602.14553.20734.19105.18054.07024.9436
H31.08791.76911.76913.37003.82352.10142.60083.91464.73684.29965.3360
H41.09241.76971.76912.85542.91452.14553.20794.19135.18104.07004.9433
N52.50872.85603.37002.85541.00371.36092.19632.16773.22331.37422.1515
H62.80322.91603.82352.91451.00372.11333.15813.14274.17442.12602.5430
C71.48742.14552.10142.14551.36092.11331.31042.14243.16432.21173.2353
N82.49433.20732.60083.20792.19633.15811.31041.37172.14032.24613.3048
C93.59564.19103.91464.19132.16773.14272.14241.37171.07761.36022.2347
H104.56675.18054.73685.18103.22334.17443.16432.14031.07762.19502.7551
C113.64314.07024.29964.07001.37422.12602.21172.24611.36022.19501.0758
H124.60674.94365.33604.94332.15152.54303.23533.30482.23472.75511.0758

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 123.405 C1 C7 N8 126.005
H2 C1 H3 108.469 H2 C1 H4 108.195
H2 C1 C7 111.621 H3 C1 H4 108.469
H3 C1 C7 108.373 H4 C1 C7 111.622
N5 C7 N8 110.590 N5 C11 C9 104.884
N5 C11 H12 122.375 H6 N5 C7 126.013
H6 N5 C11 126.067 C7 N5 C11 107.920
C7 N8 C9 106.004 N8 C9 H10 121.351
N8 C9 C11 110.602 C9 C11 H12 132.741
H10 C9 C11 128.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.479      
2 H 0.136      
3 H 0.167      
4 H 0.136      
5 N -0.138      
6 H 0.250      
7 C 0.039      
8 N -0.110      
9 C -0.120      
10 H 0.126      
11 C -0.142      
12 H 0.134      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.588 3.714 -0.000 3.761
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.600 0.598 0.001
y 0.598 -34.196 -0.001
z 0.001 -0.001 -38.038
Traceless
 xyz
x 5.517 0.598 0.001
y 0.598 0.123 -0.001
z 0.001 -0.001 -5.640
Polar
3z2-r2-11.280
x2-y23.596
xy0.598
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.330 0.062 0.000
y 0.062 8.754 -0.000
z 0.000 -0.000 5.687


<r2> (average value of r2) Å2
<r2> 138.187
(<r2>)1/2 11.755