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All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-276.426143
Energy at 298.15K-276.443315
Nuclear repulsion energy321.073659
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/6-31+G**
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 3115 3003 34.51      
2 A 3107 2995 69.41      
3 A 3100 2989 46.62      
4 A 3098 2987 20.42      
5 A 3096 2985 80.25      
6 A 3096 2985 41.77      
7 A 3064 2954 36.03      
8 A 3048 2939 29.67      
9 A 3033 2925 23.58      
10 A 3032 2924 9.75      
11 A 3030 2922 38.47      
12 A 3029 2920 48.88      
13 A 3020 2912 49.55      
14 A 3013 2905 39.13      
15 A 2998 2891 11.63      
16 A 2984 2877 10.05      
17 A 1521 1466 9.08      
18 A 1514 1460 11.15      
19 A 1511 1457 2.66      
20 A 1504 1450 5.71      
21 A 1504 1450 3.20      
22 A 1502 1448 10.17      
23 A 1499 1445 1.16      
24 A 1494 1441 0.06      
25 A 1482 1429 0.27      
26 A 1421 1370 9.11      
27 A 1419 1368 2.53      
28 A 1416 1365 2.61      
29 A 1398 1348 0.75      
30 A 1384 1334 0.08      
31 A 1377 1328 1.96      
32 A 1340 1292 0.16      
33 A 1327 1280 1.12      
34 A 1304 1257 0.95      
35 A 1288 1242 0.55      
36 A 1259 1214 2.29      
37 A 1199 1156 0.02      
38 A 1176 1134 5.29      
39 A 1167 1125 0.25      
40 A 1088 1049 2.04      
41 A 1060 1022 0.36      
42 A 1043 1006 0.13      
43 A 1032 995 0.52      
44 A 997 961 3.55      
45 A 973 938 2.64      
46 A 939 905 2.16      
47 A 881 850 0.92      
48 A 869 838 0.53      
49 A 821 792 0.26      
50 A 775 747 2.60      
51 A 744 717 1.60      
52 A 504 486 0.12      
53 A 438 422 0.12      
54 A 376 362 0.14      
55 A 320 309 0.03      
56 A 296 286 0.00      
57 A 260 251 0.00      
58 A 242 234 0.00      
59 A 214 206 0.02      
60 A 153 148 0.01      
61 A 107 103 0.01      
62 A 77 75 0.00      
63 A 62 60 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47570.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 45867.1 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 B3LYP/6-31+G**
ABC
0.19109 0.03605 0.03249

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.573 0.141 -0.207
H2 -0.591 0.112 -1.309
C3 -0.772 1.603 0.228
C4 -1.714 -0.768 0.296
C5 0.791 -0.416 0.250
C6 -3.104 -0.449 -0.270
C7 2.025 0.252 -0.373
C8 3.340 -0.418 0.046
H9 -0.762 1.685 1.323
H10 0.017 2.253 -0.161
H11 -1.725 2.006 -0.127
H12 -1.747 -0.721 1.395
H13 -1.464 -1.808 0.045
H14 0.825 -1.490 0.014
H15 0.856 -0.345 1.347
H16 -3.842 -1.182 0.073
H17 -3.460 0.539 0.038
H18 -3.098 -0.474 -1.367
H19 2.062 1.313 -0.096
H20 1.935 0.225 -1.468
H21 4.204 0.073 -0.413
H22 3.474 -0.380 1.134
H23 3.359 -1.474 -0.252

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10231.53801.54361.54322.59922.60633.96072.18202.19362.19332.16552.15782.15962.16693.53752.92462.84542.88622.80864.78244.29554.2510
H21.10232.14902.14822.14982.77652.78254.19153.07112.50442.50413.05682.50662.51473.05923.76223.19842.57513.15492.53374.87864.76834.3858
C31.53802.14902.55232.55333.14583.16374.58491.09821.09441.09442.77753.48503.48692.77404.14802.89733.50242.86683.47915.24514.77285.1727
C41.54362.14822.55232.53061.53413.93385.07212.82463.51242.80601.10001.09852.65502.80892.17892.19652.18334.32954.17356.02005.26985.1513
C51.54322.14982.55332.53063.92971.53572.55652.82422.80943.51292.80122.65831.09961.10114.69934.36264.21232.17352.16143.51112.82492.8219
C62.59922.77653.14581.53413.92975.17806.45123.54634.12982.81882.16492.15264.07444.27861.09551.09491.09695.46085.22317.32816.72646.5435
C72.60632.78253.16373.93381.53575.17801.53373.56322.84254.14774.27844.07402.15062.16386.05655.50845.26921.09691.09932.18662.18382.1844
C83.96074.19154.58495.07212.55656.45121.53374.78274.26805.61785.27115.00082.73322.80457.22196.86686.59102.15632.16301.09551.09661.0966
H92.18203.07111.09822.82462.82423.54633.56324.78271.77041.77042.60113.78493.78252.59564.38983.20074.16563.18184.14695.50204.71615.4253
H102.19362.50441.09443.51242.80944.12982.84254.26801.77041.76073.79264.32783.83293.11905.17223.88214.31222.25133.08224.72704.53435.0062
H112.19332.50411.09442.80603.51292.81884.14775.61781.77041.76073.12303.82634.32933.78973.83182.27743.09343.85034.28626.24325.85806.1621
H122.16553.05682.77751.10002.80122.16494.27845.27112.60113.79263.12301.75573.01862.63072.51952.52303.08424.56824.75936.27045.23885.4174
H132.15782.50663.48501.09852.65832.15264.07405.00083.78494.32783.82631.75572.31173.03642.45863.08112.53804.71104.23995.99015.25474.8439
H142.15962.51473.48692.65501.09964.07442.15062.73323.78253.83294.32933.01862.31171.75704.67754.74154.28143.06532.52363.74753.08232.5477
H152.16693.05922.77402.80891.10114.27862.16382.80452.59563.11903.78972.63073.03641.75704.93914.59624.79742.50673.06813.80562.62693.1771
H163.53753.76224.14802.17894.69931.09556.05657.22194.38985.17223.83182.51952.45864.67754.93911.76401.76876.41176.14238.15807.43587.2139
H172.92463.19842.89732.19654.36261.09495.50846.86683.20073.88212.27742.52303.08114.74154.59621.76401.76955.57765.61057.69187.08037.1159
H182.84542.57513.50242.18334.21231.09695.26926.59104.16564.31223.09343.08422.53804.28144.79741.76871.76955.60655.08247.38467.03236.6283
H192.88623.15492.86684.32952.17355.46081.09692.15633.18182.25133.85034.56824.71103.06532.50676.41175.57765.60651.75632.49542.52433.0775
H202.80862.53373.47914.17352.16145.22311.09932.16304.14693.08224.28624.75934.23992.52363.06816.14235.61055.08241.75632.50703.08292.5279
H214.78244.87865.24516.02003.51117.32812.18661.09555.50204.72706.24326.27045.99013.74753.80568.15807.69187.38462.49542.50701.76951.7701
H224.29554.76834.77285.26982.82496.72642.18381.09664.71614.53435.85805.23885.25473.08232.62697.43587.08037.03232.52433.08291.76951.7687
H234.25104.38585.17275.15132.82196.54352.18441.09665.42535.00626.16215.41744.84392.54773.17717.21397.11596.62833.07752.52791.77011.7687

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.620 C1 C3 H10 111.769
C1 C3 H11 111.748 C1 C4 C6 115.243
C1 C4 H12 108.841 C1 C4 H13 108.335
C1 C5 C7 115.665 C1 C5 H14 108.435
C1 C5 H15 108.913 H2 C1 C3 107.817
H2 C1 C4 107.387 H2 C1 C5 107.531
C3 C1 C4 111.834 C3 C1 C5 111.918
C4 C1 C5 110.126 C4 C6 H16 110.807
C4 C6 H17 112.256 C4 C6 H18 111.075
C5 C7 C8 112.794 C5 C7 H19 110.184
C5 C7 H20 109.101 C6 C4 H12 109.445
C6 C4 H13 108.578 C7 C5 H14 108.248
C7 C5 H15 109.189 C7 C8 H21 111.443
C7 C8 H22 111.156 C7 C8 H23 111.203
C8 C7 H19 108.977 C8 C7 H20 109.363
H9 C3 H10 107.696 H9 C3 H11 107.694
H10 C3 H11 107.106 H12 C4 H13 105.998
H14 C5 H15 105.953 H16 C6 H17 107.275
H16 C6 H18 107.547 H17 C6 H18 107.665
H19 C7 H20 106.205 H21 C8 H22 107.648
H21 C8 H23 107.699 H22 C8 H23 107.502
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.528      
2 H 0.114      
3 C -0.602      
4 C -0.162      
5 C -0.633      
6 C -0.605      
7 C -0.017      
8 C -0.696      
9 H 0.143      
10 H 0.138      
11 H 0.139      
12 H 0.134      
13 H 0.130      
14 H 0.127      
15 H 0.133      
16 H 0.143      
17 H 0.142      
18 H 0.144      
19 H 0.134      
20 H 0.135      
21 H 0.143      
22 H 0.145      
23 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.002 -0.011 -0.082 0.083
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.201 0.397 -0.252
y 0.397 -49.506 0.328
z -0.252 0.328 -49.022
Traceless
 xyz
x -0.936 0.397 -0.252
y 0.397 0.105 0.328
z -0.252 0.328 0.831
Polar
3z2-r21.663
x2-y2-0.694
xy0.397
xz-0.252
yz0.328


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.770 -0.023 0.068
y -0.023 11.991 -0.156
z 0.068 -0.156 11.148


<r2> (average value of r2) Å2
<r2> 365.527
(<r2>)1/2 19.119