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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-157.762220
Energy at 298.15K-157.770673
Nuclear repulsion energy124.662901
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 B3LYP/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 3051 2936 54.79      
2 A1 2949 2837 85.03      
3 A1 1532 1474 20.30      
4 A1 1473 1417 0.93      
5 A1 1129 1086 0.94      
6 A1 761 732 0.53      
7 A1 257 248 4.41      
8 A2 3095 2977 0.00      
9 A2 1518 1460 0.00      
10 A2 1004 966 0.00      
11 A2 137 132 0.00      
12 E 3101 2983 55.90      
12 E 3101 2983 55.89      
13 E 3048 2932 22.72      
13 E 3048 2932 22.73      
14 E 2939 2827 39.97      
14 E 2939 2827 39.97      
15 E 1539 1481 3.70      
15 E 1539 1481 3.70      
16 E 1516 1458 3.35      
16 E 1516 1458 3.35      
17 E 1448 1393 4.05      
17 E 1448 1393 4.05      
18 E 1324 1274 9.76      
18 E 1324 1274 9.77      
19 E 1029 990 2.84      
19 E 1029 990 2.84      
20 E 974 937 0.22      
20 E 974 937 0.22      
21 E 388 373 0.04      
21 E 388 373 0.04      
22 E 124 119 0.00      
22 E 124 119 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25881.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 24898.0 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 B3LYP/6-31G
ABC
0.26379 0.26379 0.14288

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.136
C2 0.000 1.494 -0.014
C3 1.294 -0.747 -0.014
C4 -1.294 -0.747 -0.014
H5 0.000 1.808 -1.076
H6 1.566 -0.904 -1.076
H7 -1.566 -0.904 -1.076
H8 -0.889 1.947 0.444
H9 0.889 1.947 0.444
H10 2.131 -0.204 0.444
H11 1.242 -1.743 0.444
H12 -1.242 -1.743 0.444
H13 -2.131 -0.204 0.444

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.50191.50191.50192.17692.17692.17692.16242.16242.16242.16242.16242.1624
C21.50192.58832.58831.10743.05513.05511.09771.09772.76273.49773.49772.7627
C31.50192.58832.58833.05511.10743.05513.49772.76271.09771.09772.76273.4977
C41.50192.58832.58833.05513.05511.10742.76273.49773.49772.76271.09771.0977
H52.17691.10743.05513.05513.13223.13221.76641.76643.30134.05804.05803.3013
H62.17693.05511.10743.05513.13223.13224.05803.30131.76641.76643.30134.0580
H72.17693.05513.05511.10743.13223.13223.30134.05804.05803.30131.76641.7664
H82.16241.09773.49772.76271.76644.05803.30131.77783.70714.26123.70712.4834
H92.16241.09772.76273.49771.76643.30134.05801.77782.48343.70714.26123.7071
H102.16242.76271.09773.49773.30131.76644.05803.70712.48341.77783.70714.2612
H112.16243.49771.09772.76274.05801.76643.30134.26123.70711.77782.48343.7071
H122.16243.49772.76271.09774.05803.30131.76643.70714.26123.70712.48341.7778
H132.16242.76273.49771.09773.30134.05801.76642.48343.70714.26123.70711.7778

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 112.197 C1 C2 H8 111.632
C1 C2 H9 111.632 C1 C3 H6 112.197
C1 C3 H10 111.632 C1 C3 H11 111.632
C1 C4 H7 112.197 C1 C4 H12 111.632
C1 C4 H13 111.632 C2 C1 C3 119.017
C2 C1 C4 119.017 C3 C1 C4 119.017
H5 C2 H8 106.459 H5 C2 H9 106.459
H6 C3 H10 106.459 H6 C3 H11 106.459
H7 C4 H12 106.459 H7 C4 H13 106.459
H8 C2 H9 108.153 H10 C3 H11 108.153
H12 C4 H13 108.153
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.139      
2 C -0.453      
3 C -0.453      
4 C -0.453      
5 H 0.135      
6 H 0.135      
7 H 0.135      
8 H 0.136      
9 H 0.136      
10 H 0.136      
11 H 0.136      
12 H 0.136      
13 H 0.136      


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 -0.220 0.220
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.104 0.000 0.000
y 0.000 -27.104 0.000
z 0.000 0.000 -28.035
Traceless
 xyz
x 0.465 0.000 0.000
y 0.000 0.465 0.000
z 0.000 0.000 -0.931
Polar
3z2-r2-1.862
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 6.849 0.000 0.000
y 0.000 6.849 0.000
z 0.000 0.000 5.353


<r2> (average value of r2) Å2
<r2> 99.386
(<r2>)1/2 9.969