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

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 C3V 2A"
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-157.798866
Energy at 298.15K-157.807485
HF Energy-157.798866
Nuclear repulsion energy125.622151
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 A1 3071 2933 44.24      
2 A1 2973 2839 71.32      
3 A1 1501 1433 24.52      
4 A1 1436 1371 1.88      
5 A1 1108 1058 0.13      
6 A1 773 739 1.29      
7 A1 268 256 3.93      
8 A2 3116 2976 0.00      
9 A2 1480 1413 0.00      
10 A2 976 932 0.00      
11 A2 157 150 0.00      
12 E 3120 2980 45.70      
12 E 3120 2980 45.86      
13 E 3070 2932 19.24      
13 E 3070 2932 19.23      
14 E 2965 2832 34.32      
14 E 2965 2832 34.24      
15 E 1505 1437 3.70      
15 E 1505 1437 3.69      
16 E 1481 1414 3.78      
16 E 1481 1414 3.80      
17 E 1412 1348 8.28      
17 E 1412 1348 8.26      
18 E 1309 1250 5.70      
18 E 1309 1250 5.66      
19 E 1017 971 2.05      
19 E 1017 971 2.02      
20 E 949 906 0.46      
20 E 949 906 0.45      
21 E 387 370 0.14      
21 E 387 370 0.14      
22 E 162 155 0.00      
22 E 162 155 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 25804.3 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 24643.1 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 wB97X-D/TZVP
ABC
0.26839 0.26839 0.14572

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.154
C2 0.000 1.479 -0.016
C3 1.281 -0.740 -0.016
C4 -1.281 -0.740 -0.016
H5 0.000 1.768 -1.079
H6 1.531 -0.884 -1.079
H7 -1.531 -0.884 -1.079
H8 -0.886 1.936 0.433
H9 0.886 1.936 0.433
H10 2.120 -0.201 0.433
H11 1.234 -1.735 0.433
H12 -1.234 -1.735 0.433
H13 -2.120 -0.201 0.433

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.48891.48891.48892.15522.15522.15522.14752.14752.14752.14752.14752.1475
C21.48892.56222.56221.10203.00983.00981.09301.09302.74183.47233.47232.7418
C31.48892.56222.56223.00981.10203.00983.47232.74181.09301.09302.74183.4723
C41.48892.56222.56223.00983.00981.10202.74183.47233.47232.74181.09301.0930
H52.15521.10203.00983.00983.06163.06161.76061.76063.26424.00994.00993.2642
H62.15523.00981.10203.00983.06163.06164.00993.26421.76061.76063.26424.0099
H72.15523.00983.00981.10203.06163.06163.26424.00994.00993.26421.76061.7606
H82.14751.09303.47232.74181.76064.00993.26421.77173.68794.23953.68792.4678
H92.14751.09302.74183.47231.76063.26424.00991.77172.46783.68794.23953.6879
H102.14752.74181.09303.47233.26421.76064.00993.68792.46781.77173.68794.2395
H112.14753.47231.09302.74184.00991.76063.26424.23953.68791.77172.46783.6879
H122.14753.47232.74181.09304.00993.26421.76063.68794.23953.68792.46781.7717
H132.14752.74183.47231.09303.26424.00991.76062.46783.68794.23953.68791.7717

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 111.702 C1 C2 H8 111.633
C1 C2 H9 111.633 C1 C3 H6 111.702
C1 C3 H10 111.633 C1 C3 H11 111.633
C1 C4 H7 111.702 C1 C4 H12 111.633
C1 C4 H13 111.633 C2 C1 C3 118.724
C2 C1 C4 118.724 C3 C1 C4 118.724
H5 C2 H8 106.659 H5 C2 H9 106.659
H6 C3 H10 106.659 H6 C3 H11 106.659
H7 C4 H12 106.659 H7 C4 H13 106.659
H8 C2 H9 108.278 H10 C3 H11 108.278
H12 C4 H13 108.278
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 -0.047      
2 C -0.344      
3 C -0.344      
4 C -0.344      
5 H 0.116      
6 H 0.116      
7 H 0.116      
8 H 0.122      
9 H 0.122      
10 H 0.122      
11 H 0.122      
12 H 0.122      
13 H 0.122      


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 -0.276 0.276
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.380 0.000 0.000
y 0.000 -27.380 0.000
z 0.000 0.000 -28.271
Traceless
 xyz
x 0.445 0.000 0.000
y 0.000 0.445 0.000
z 0.000 0.000 -0.891
Polar
3z2-r2-1.781
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 7.788 0.000 0.000
y 0.000 7.787 0.002
z 0.000 0.002 6.495


<r2> (average value of r2) Å2
<r2> 98.056
(<r2>)1/2 9.902