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All results from a given calculation for C2H4N4 (1H-Tetrazole, 5-methyl-)

using model chemistry: mPW1PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-297.528263
Energy at 298.15K-297.535752
Nuclear repulsion energy230.075145
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(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 3707 3539 82.08      
2 A 3191 3047 0.63      
3 A 3074 2935 9.69      
4 A 1620 1547 48.90      
5 A 1509 1441 0.41      
6 A 1437 1372 26.33      
7 A 1426 1361 3.26      
8 A 1392 1329 2.24      
9 A 1308 1249 16.48      
10 A 1150 1098 5.59      
11 A 1113 1062 4.58      
12 A 1096 1046 29.86      
13 A 1041 994 0.79      
14 A 998 953 0.31      
15 A 699 668 3.23      
16 A 339 323 4.07      
17 A 3144 3002 5.39      
18 A 1485 1418 9.07      
19 A 1071 1022 2.60      
20 A 754 720 5.22      
21 A 718 685 12.76      
22 A 602 575 66.94      
23 A 278 265 0.09      
24 A 85 81 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 16618.2 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 15865.4 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(2df,p)
ABC
0.33149 0.12337 0.09145

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.139 -0.061 0.000
C2 0.000 0.594 0.000
C3 0.177 2.065 0.000
H4 0.724 2.402 0.884
H5 0.724 2.402 -0.884
H6 -0.807 2.534 0.000
N7 0.985 -0.318 0.000
N8 0.449 -1.546 0.000
N9 -0.821 -1.373 0.000
H10 1.984 -0.204 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 H4 H5 H6 N7 N8 N9 H10
N11.31412.50063.21223.21222.61592.13982.17441.35033.1261
C21.31411.48172.13862.13862.10041.34292.18702.13232.1384
C32.50061.48171.09301.09301.08902.51713.62193.58082.9011
H43.21222.13861.09301.76881.77242.87234.05534.17413.0268
H53.21222.13861.09301.76881.77242.87234.05534.17413.0268
H62.61592.10041.08901.77241.77243.36804.26863.90713.9091
N72.13981.34292.51712.87232.87233.36801.33982.09211.0051
N82.17442.18703.62194.05534.05534.26861.33981.28212.0387
N91.35032.13233.58084.17414.17413.90712.09211.28213.0391
H103.12612.13842.90113.02683.02683.90911.00512.03873.0391

picture of 1H-Tetrazole, 5-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 126.759 N1 C2 N7 107.280
N1 N9 N8 111.350 C2 N1 N9 106.303
C2 C3 H4 111.429 C2 C3 H5 111.429
C2 C3 H6 108.613 C2 N7 N8 109.223
C2 N7 H10 130.671 C3 C2 N7 125.962
H4 C3 H5 108.026 H4 C3 H6 108.635
H5 C3 H6 108.635 N7 N8 N9 105.845
N8 N7 H10 120.106
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.281      
2 C 0.444      
3 C -0.562      
4 H 0.176      
5 H 0.176      
6 H 0.202      
7 N -0.287      
8 N -0.082      
9 N -0.098      
10 H 0.311      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  4.073 3.942 0.000 5.668
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.081 -0.364 0.000
y -0.364 -36.003 0.000
z 0.000 0.000 -33.839
Traceless
 xyz
x 1.839 -0.364 0.000
y -0.364 -2.543 0.000
z 0.000 0.000 0.704
Polar
3z2-r21.408
x2-y22.922
xy-0.364
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.804 0.265 0.000
y 0.265 8.254 0.000
z 0.000 0.000 4.136


<r2> (average value of r2) Å2
<r2> 127.213
(<r2>)1/2 11.279