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All results from a given calculation for C(CH3)3 (Tert-butyl radical)

using model chemistry: HF/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at HF/6-31G
 hartrees
Energy at 0K-156.614459
Energy at 298.15K-156.623155
Nuclear repulsion energy125.173485
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 HF/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 A1 3213 2901 71.00      
2 A1 3129 2825 74.09      
3 A1 1654 1493 20.74      
4 A1 1592 1437 1.57      
5 A1 1220 1102 0.05      
6 A1 795 718 0.70      
7 A1 279 252 3.75      
8 A2 3244 2929 0.00      
9 A2 1634 1475 0.00      
10 A2 1080 975 0.00      
11 A2 135 122 0.00      
12 E 3252 2936 66.43      
12 E 3252 2936 66.43      
13 E 3207 2895 19.96      
13 E 3207 2895 19.96      
14 E 3121 2818 33.43      
14 E 3121 2818 33.43      
15 E 1652 1492 4.52      
15 E 1652 1492 4.52      
16 E 1636 1477 2.63      
16 E 1636 1477 2.63      
17 E 1568 1416 8.03      
17 E 1568 1416 8.03      
18 E 1410 1273 9.03      
18 E 1410 1273 9.03      
19 E 1100 993 1.82      
19 E 1100 993 1.82      
20 E 1050 948 0.12      
20 E 1050 948 0.12      
21 E 406 367 0.06      
21 E 406 367 0.06      
22 E 143 129 0.02      
22 E 143 129 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 27529.7 cm-1
Scaled (by 0.9029) Zero Point Vibrational Energy (zpe) 24856.6 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 HF/6-31G
ABC
0.26517 0.26517 0.14384

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.173
C2 0.000 1.492 -0.020
C3 1.292 -0.746 -0.020
C4 -1.292 -0.746 -0.020
H5 0.000 1.761 -1.078
H6 1.525 -0.880 -1.078
H7 -1.525 -0.880 -1.078
H8 -0.878 1.949 0.425
H9 0.878 1.949 0.425
H10 2.127 -0.215 0.425
H11 1.249 -1.735 0.425
H12 -1.249 -1.735 0.425
H13 -2.127 -0.215 0.425

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.50491.50491.50492.16012.16012.16012.15272.15272.15272.15272.15272.1527
C21.50492.58502.58501.09193.01263.01261.08491.08492.76353.48913.48912.7635
C31.50492.58502.58503.01261.09193.01263.48912.76351.08491.08492.76353.4891
C41.50492.58502.58503.01263.01261.09192.76353.48913.48912.76351.08491.0849
H52.16011.09193.01263.01263.04963.04961.75101.75103.26914.00504.00503.2691
H62.16013.01261.09193.01263.04963.04964.00503.26911.75101.75103.26914.0050
H72.16013.01263.01261.09193.04963.04963.26914.00504.00503.26911.75101.7510
H82.15271.08493.48912.76351.75104.00503.26911.75523.70294.25423.70292.4990
H92.15271.08492.76353.48911.75103.26914.00501.75522.49903.70294.25423.7029
H102.15272.76351.08493.48913.26911.75104.00503.70292.49901.75523.70294.2542
H112.15273.48911.08492.76354.00501.75103.26914.25423.70291.75522.49903.7029
H122.15273.48912.76351.08494.00503.26911.75103.70294.25423.70292.49901.7552
H132.15272.76353.48911.08493.26914.00501.75102.49903.70294.25423.70291.7552

picture of Tert-butyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H5 111.587 C1 C2 H8 111.419
C1 C2 H9 111.419 C1 C3 H6 111.587
C1 C3 H10 111.419 C1 C3 H11 111.419
C1 C4 H7 111.587 C1 C4 H12 111.419
C1 C4 H13 111.419 C2 C1 C3 118.382
C2 C1 C4 118.382 C3 C1 C4 118.382
H5 C2 H8 107.102 H5 C2 H9 107.102
H6 C3 H10 107.102 H6 C3 H11 107.102
H7 C4 H12 107.102 H7 C4 H13 107.102
H8 C2 H9 107.980 H10 C3 H11 107.980
H12 C4 H13 107.980
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.071 0.014    
2 C -0.488 -0.124    
3 C -0.488 -0.114    
4 C -0.488 -0.114    
5 H 0.151 0.048    
6 H 0.151 0.046    
7 H 0.151 0.046    
8 H 0.156 0.035    
9 H 0.156 0.035    
10 H 0.156 0.032    
11 H 0.156 0.032    
12 H 0.156 0.032    
13 H 0.156 0.032    


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.233 0.233
CHELPG 0.000 0.002 -0.273 0.273
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.700 0.000 0.000
y 0.000 -27.700 0.000
z 0.000 0.000 -28.421
Traceless
 xyz
x 0.361 0.000 0.000
y 0.000 0.361 0.000
z 0.000 0.000 -0.721
Polar
3z2-r2-1.442
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.301 0.000 0.000
y 0.000 6.301 0.000
z 0.000 0.000 5.196


<r2> (average value of r2) Å2
<r2> 99.027
(<r2>)1/2 9.951