return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H4N4 (2H-Tetrazole, 2-methyl-)

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-297.501617
Energy at 298.15K-297.509243
Nuclear repulsion energy232.850766
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 mPW1PW91/6-31G*
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 3338 3165 0.47      
2 A 3234 3066 0.41      
3 A 3201 3035 5.00      
4 A 3116 2955 16.88      
5 A 1550 1470 4.61      
6 A 1520 1441 15.46      
7 A 1510 1432 11.92      
8 A 1473 1397 1.73      
9 A 1461 1386 11.02      
10 A 1356 1286 19.70      
11 A 1351 1281 9.26      
12 A 1296 1229 12.48      
13 A 1188 1127 10.66      
14 A 1165 1105 0.09      
15 A 1077 1021 30.55      
16 A 1065 1010 9.06      
17 A 1040 987 4.90      
18 A 899 853 10.71      
19 A 737 699 13.87      
20 A 734 696 4.85      
21 A 704 668 6.67      
22 A 378 358 5.30      
23 A 238 226 5.46      
24 A 89 84 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 16859.8 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 15988.1 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 mPW1PW91/6-31G*
ABC
0.32952 0.13227 0.09611

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 2.301 -1.196 -0.000
C2 1.405 -0.596 0.000
N3 0.185 -1.113 0.000
N4 1.402 0.751 -0.000
N5 0.146 1.104 0.000
N6 -0.551 -0.017 -0.000
H7 -2.355 -0.552 -0.890
H8 -2.330 1.001 -0.003
H9 -2.355 -0.546 0.893
C10 -1.995 -0.034 -0.000

Atom - Atom Distances (Å)
  H1 C2 N3 N4 N5 N6 H7 H8 H9 C10
H11.07832.11782.14403.15203.08684.78475.12644.78614.4509
C21.07831.32481.34692.11582.04053.86474.06273.86553.4464
N32.11781.32482.22592.21761.32072.74993.28602.75212.4327
N42.14401.34692.22591.30502.09914.07543.74114.07443.4870
N53.15202.11582.21761.30501.32043.12932.47873.12712.4251
N63.08682.04051.32072.09911.32042.08132.04962.08151.4439
H74.78473.86472.74994.07543.12932.08131.78831.78281.0906
H85.12644.06273.28603.74112.47872.04961.78831.78831.0882
H94.78613.86552.75214.07443.12712.08151.78281.78831.0906
C104.45093.44642.43273.48702.42511.44391.09061.08821.0906

picture of 2H-Tetrazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C2 N3 123.266 H1 C2 N4 123.893
C2 N3 N6 100.943 C2 N4 N5 105.839
N3 C2 N4 112.842 N3 N6 N5 114.205
N3 N6 C10 123.216 N4 N5 N6 106.172
N5 N6 C10 122.578 N6 C10 H7 109.626
N6 C10 H8 107.254 N6 C10 H9 109.638
H7 C10 H8 110.327 H7 C10 H9 109.641
H8 C10 H9 110.319
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.211      
2 C 0.189      
3 N -0.283      
4 N -0.302      
5 N -0.049      
6 N -0.066      
7 H 0.221      
8 H 0.229      
9 H 0.221      
10 C -0.372      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -2.480 -1.464 -0.000 2.880
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.943 -4.084 0.001
y -4.084 -39.312 0.000
z 0.001 0.000 -33.952
Traceless
 xyz
x 8.689 -4.084 0.001
y -4.084 -8.364 0.000
z 0.001 0.000 -0.325
Polar
3z2-r2-0.650
x2-y211.369
xy-4.084
xz0.001
yz0.000


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


<r2> (average value of r2) Å2
<r2> 122.826
(<r2>)1/2 11.083