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All results from a given calculation for C7H7 (cycloheptatrienyl radical)

using model chemistry: B3LYP/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
1 2 yes CS 2A"

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-270.980352
Energy at 298.15K 
HF Energy-270.980352
Nuclear repulsion energy258.484477
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/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 3185 3075 4.32      
2 A1 3176 3066 24.45      
3 A1 3159 3050 18.38      
4 A1 3135 3026 5.53      
5 A1 1642 1585 2.08      
6 A1 1592 1537 14.88      
7 A1 1485 1433 8.19      
8 A1 1296 1251 0.58      
9 A1 1253 1210 3.48      
10 A1 965 931 3.05      
11 A1 918 886 1.08      
12 A1 850 820 0.18      
13 A1 423 408 0.29      
14 A2 1004 969 0.00      
15 A2 987 953 0.00      
16 A2 765 738 0.00      
17 A2 564 544 0.00      
18 A2 290 280 0.00      
19 B1 981 947 0.38      
20 B1 839 810 0.01      
21 B1 759 733 1.18      
22 B1 650 627 86.21      
23 B1 516 498 38.32      
24 B1 158 152 0.00      
25 B2 3174 3064 41.31      
26 B2 3142 3033 1.82      
27 B2 3135 3027 9.24      
28 B2 1553 1499 7.31      
29 B2 1489 1437 2.40      
30 B2 1424 1375 0.01      
31 B2 1313 1267 0.16      
32 B2 1188 1147 2.70      
33 B2 967 933 6.68      
34 B2 911 879 1.39      
35 B2 449 433 0.25      
36 B2 354i 342i 21.30      

Unscaled Zero Point Vibrational Energy (zpe) 24489.0 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 23641.7 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/TZVP
ABC
0.12460 0.12458 0.06229

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.624
C2 0.000 1.262 0.994
C3 0.000 -1.262 0.994
C4 0.000 1.585 -0.342
C5 0.000 -1.585 -0.342
C6 0.000 0.680 -1.464
C7 0.000 -0.680 -1.464
H8 0.000 0.000 2.707
H9 0.000 2.116 1.666
H10 0.000 -2.116 1.666
H11 0.000 2.644 -0.571
H12 0.000 -2.644 -0.571
H13 0.000 1.136 -2.448
H14 0.000 -1.136 -2.448

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41051.41052.52522.52523.16163.16161.08292.11642.11643.43633.43634.22784.2278
C21.41052.52411.37463.14482.52593.13222.12761.08683.44422.08794.20793.44464.1955
C31.41052.52413.14481.37463.13222.52592.12763.44421.08684.20792.08794.19553.4446
C42.52521.37463.14483.16951.44142.52683.43622.07754.21051.08374.23482.15343.4410
C52.52523.14481.37463.16952.52681.44143.43624.21052.07754.23481.08373.44102.1534
C63.16162.52593.13221.44142.52681.35904.22563.44394.19672.15773.44121.08542.0657
C73.16163.13222.52592.52681.44141.35904.22564.19673.44393.44122.15772.06571.0854
H81.08292.12762.12763.43623.43624.22564.22562.35802.35804.21134.21135.27895.2789
H92.11641.08683.44422.07754.21053.44394.19672.35804.23192.29885.25954.22965.2448
H102.11643.44421.08684.21052.07754.19673.44392.35804.23195.25952.29885.24484.2296
H113.43632.08794.20791.08374.23482.15773.44124.21132.29885.25955.28782.40764.2208
H123.43634.20792.08794.23481.08373.44122.15774.21135.25952.29885.28784.22082.4076
H134.22783.44464.19552.15343.44101.08542.06575.27894.22965.24482.40764.22082.2728
H144.22784.19553.44463.44102.15342.06571.08545.27895.24484.22964.22082.40762.2728

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 26.524 C1 C2 H9 115.264
C1 C7 C6 77.589 C1 C7 H14 167.517
C2 C1 C7 75.888 C2 C1 H8 116.524
C2 C3 C4 25.143 C2 C3 H10 141.788
C3 C2 H9 141.788 C3 C4 C5 25.143
C3 C4 H11 167.055 C4 C3 H10 166.932
C4 C5 C6 26.353 C4 C5 H12 167.801
C5 C4 H11 167.801 C5 C6 C7 26.353
C5 C6 H13 141.247 C6 C5 H12 141.448
C6 C7 H14 114.895 C7 C1 H8 167.589
C7 C6 H13 114.895
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.128      
2 C -0.106      
3 C -0.106      
4 C -0.122      
5 C -0.122      
6 C -0.112      
7 C -0.112      
8 H 0.116      
9 H 0.114      
10 H 0.114      
11 H 0.116      
12 H 0.116      
13 H 0.116      
14 H 0.116      


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 -0.058 0.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.863 0.000 0.000
y 0.000 -37.612 0.000
z 0.000 0.000 -37.605
Traceless
 xyz
x -9.255 0.000 0.000
y 0.000 4.622 0.000
z 0.000 0.000 4.633
Polar
3z2-r29.266
x2-y2-9.251
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.417 0.000 0.000
y 0.000 14.420 0.000
z 0.000 0.000 14.408


<r2> (average value of r2) Å2
<r2> 186.043
(<r2>)1/2 13.640

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-270.980597
Energy at 298.15K 
HF Energy-270.980597
Nuclear repulsion energy258.430229
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/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 A' 3184 3074 3.74      
2 A' 3175 3065 26.96      
3 A' 3173 3063 41.52      
4 A' 3158 3049 17.52      
5 A' 3142 3033 2.56      
6 A' 3136 3027 7.62      
7 A' 3135 3026 5.62      
8 A' 1648 1591 3.34      
9 A' 1597 1542 12.12      
10 A' 1550 1496 9.03      
11 A' 1487 1435 2.80      
12 A' 1481 1430 6.97      
13 A' 1424 1375 0.01      
14 A' 1312 1267 0.05      
15 A' 1293 1248 1.08      
16 A' 1247 1204 2.44      
17 A' 1190 1149 2.21      
18 A' 968 935 6.75      
19 A' 962 929 3.61      
20 A' 918 886 0.73      
21 A' 910 878 0.97      
22 A' 847 817 0.18      
23 A' 449 433 0.22      
24 A' 422 407 0.26      
25 A' 98i 94i 22.92      
26 A" 1006 971 0.00      
27 A" 990 956 0.00      
28 A" 982 948 0.28      
29 A" 842 813 0.02      
30 A" 766 740 0.28      
31 A" 758 732 1.22      
32 A" 649 626 85.50      
33 A" 561 542 0.00      
34 A" 515 497 38.43      
35 A" 289 279 0.00      
36 A" 151 146 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24608.3 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 23756.9 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/TZVP
ABC
0.12454 0.12451 0.06226

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.784 -1.386 0.000
C2 -0.824 -1.073 0.000
C3 1.622 -0.524 0.000
C4 -1.389 -0.177 0.000
C5 1.115 1.123 0.000
C6 -1.216 0.695 0.000
C7 0.000 1.331 0.000
H8 1.045 -2.435 0.000
H9 -1.353 -2.036 0.000
H10 2.689 -0.640 0.000
H11 -2.457 -0.032 0.000
H12 2.041 1.728 0.000
H13 -2.170 1.051 0.000
H14 -0.348 2.433 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.63881.20182.48702.53002.88582.82801.08072.23422.04593.51253.35793.82973.9834
C21.63882.50711.05952.92921.81052.54172.31291.09833.54041.93614.00722.51433.5385
C31.20182.50713.03081.72303.08812.46431.99563.33721.07384.10842.29074.10633.5533
C42.48701.05953.03082.82040.88832.04993.32031.85944.10461.07773.92351.45492.8097
C52.53002.92921.72302.82042.36911.13393.55784.00802.36363.75351.10703.28581.9638
C62.88581.81053.08810.88832.36911.37213.86062.73374.12681.43863.41691.01911.9430
C72.82802.54172.46432.04991.13391.37213.90823.62863.33452.80992.07962.18851.1556
H81.08072.31291.99563.32033.55783.86063.90822.43172.43384.24714.27994.74225.0633
H92.23421.09833.33721.85944.00802.73373.62862.43174.27692.28725.06833.19254.5805
H102.04593.54041.07384.10462.36364.12683.33452.43384.27695.18212.45495.14564.3209
H113.51251.93614.10841.07773.75351.43862.80994.24712.28725.18214.83041.12013.2444
H123.35794.00722.29073.92351.10703.41692.07964.27995.06832.45494.83044.26602.4913
H133.82972.51434.10631.45493.28581.01912.18854.74223.19255.14561.12014.26602.2876
H143.98343.53853.55332.80971.96381.94301.15565.06334.58054.32093.24442.49132.2876

picture of cycloheptatrienyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 23.651 C1 C2 H9 107.789
C1 C7 C6 78.462 C1 C7 H14 178.579
C2 C1 C7 62.896 C2 C1 H8 114.982
C2 C3 C4 19.234 C2 C3 H10 161.155
C3 C2 H9 131.441 C3 C4 C5 34.010
C3 C4 H11 178.891 C4 C3 H10 179.612
C4 C5 C6 17.020 C4 C5 H12 174.279
C5 C4 H11 144.881 C5 C6 C7 17.233
C5 C6 H13 149.152 C6 C5 H12 157.260
C6 C7 H14 100.117 C7 C1 H8 177.878
C7 C6 H13 131.919
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.122      
2 C -0.112      
3 C -0.104      
4 C -0.109      
5 C -0.131      
6 C -0.126      
7 C -0.103      
8 H 0.116      
9 H 0.116      
10 H 0.114      
11 H 0.115      
12 H 0.116      
13 H 0.116      
14 H 0.114      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.040 -0.052 0.000 0.066
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.599 0.002 0.000
y 0.002 -37.603 0.000
z 0.000 0.000 -46.859
Traceless
 xyz
x 4.632 0.002 0.000
y 0.002 4.626 0.000
z 0.000 0.000 -9.258
Polar
3z2-r2-18.516
x2-y20.004
xy0.002
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.405 -0.007 0.000
y -0.007 14.408 0.000
z 0.000 0.000 6.412


<r2> (average value of r2) Å2
<r2> 186.115
(<r2>)1/2 13.642