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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-49.138894
Energy at 298.15K-49.156032
Nuclear repulsion energy183.298043
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/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3077 2999 49.97      
2 A 3069 2990 132.85      
3 A 3063 2985 56.77      
4 A 3062 2984 190.37      
5 A 3061 2983 9.31      
6 A 3059 2981 26.66      
7 A 3026 2949 44.34      
8 A 3009 2932 27.30      
9 A 2992 2915 4.89      
10 A 2981 2905 19.54      
11 A 2977 2901 45.72      
12 A 2976 2900 24.31      
13 A 2973 2897 120.15      
14 A 2964 2889 48.83      
15 A 2951 2875 11.71      
16 A 2941 2866 10.12      
17 A 1537 1498 9.99      
18 A 1533 1494 10.83      
19 A 1529 1490 5.31      
20 A 1521 1482 5.20      
21 A 1521 1482 3.70      
22 A 1520 1481 10.77      
23 A 1517 1479 0.72      
24 A 1513 1475 0.02      
25 A 1503 1464 0.38      
26 A 1433 1397 9.08      
27 A 1429 1393 4.97      
28 A 1426 1390 7.15      
29 A 1391 1356 1.01      
30 A 1381 1346 0.77      
31 A 1373 1338 2.29      
32 A 1343 1309 0.27      
33 A 1324 1290 0.87      
34 A 1304 1271 0.31      
35 A 1291 1258 0.43      
36 A 1262 1230 1.56      
37 A 1204 1174 0.02      
38 A 1181 1151 6.06      
39 A 1168 1139 0.41      
40 A 1093 1065 3.59      
41 A 1063 1036 0.95      
42 A 1045 1019 0.40      
43 A 1033 1006 0.91      
44 A 997 972 5.07      
45 A 977 952 3.20      
46 A 937 913 2.85      
47 A 877 855 1.26      
48 A 873 851 0.95      
49 A 819 798 0.67      
50 A 775 756 3.14      
51 A 748 729 2.55      
52 A 499 486 0.21      
53 A 432 421 0.23      
54 A 368 359 0.14      
55 A 314 306 0.04      
56 A 290 282 0.00      
57 A 248 242 0.01      
58 A 231 225 0.01      
59 A 203 198 0.02      
60 A 150 146 0.02      
61 A 100 97 0.01      
62 A 74 72 0.00      
63 A 57 56 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47292.7 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 46086.7 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/CEP-121G
ABC
0.18719 0.03535 0.03186

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.579 0.142 -0.207
H2 -0.595 0.108 -1.312
C3 -0.780 1.621 0.230
C4 -1.734 -0.775 0.307
C5 0.800 -0.419 0.263
C6 -3.133 -0.456 -0.283
C7 2.045 0.257 -0.377
C8 3.374 -0.426 0.039
H9 -0.769 1.703 1.328
H10 0.013 2.270 -0.162
H11 -1.737 2.022 -0.127
H12 -1.776 -0.713 1.408
H13 -1.480 -1.820 0.067
H14 0.835 -1.497 0.034
H15 0.866 -0.335 1.362
H16 -3.877 -1.190 0.060
H17 -3.490 0.538 0.016
H18 -3.113 -0.490 -1.382
H19 2.084 1.320 -0.097
H20 1.946 0.228 -1.474
H21 4.239 0.067 -0.426
H22 3.513 -0.389 1.129
H23 3.387 -1.483 -0.263

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
C11.10571.55531.56181.56152.62432.63174.00142.19822.20962.20952.18472.17642.17842.18623.56612.94652.86362.91472.82664.82384.33754.2864
H21.10572.16822.16822.16952.79682.80424.22673.08982.52292.52413.07742.53102.53713.07983.78653.21442.58923.18192.54884.91474.80454.4147
C31.55532.16822.58012.58023.18073.19474.63471.10121.09761.09762.79773.51533.51692.79544.18542.92673.53532.89863.50395.29484.82455.2191
C41.56182.16822.58012.55931.55173.97615.12702.84883.54212.83081.10321.10202.68272.84032.19642.21242.19954.37414.20976.07655.32485.2008
C51.56152.16952.58022.55933.97131.55402.58382.84612.83393.54222.83442.68371.10301.10424.74414.40294.24572.19152.17973.54092.84782.8462
C62.62432.79683.18071.55173.97135.22756.51543.58444.16522.84912.18312.17144.11504.32621.09891.09801.10015.51505.26187.39236.79486.6004
C72.63172.80423.19473.97611.55405.22751.55143.59412.86814.18064.32714.11512.16982.18256.11095.55605.30741.10011.10252.20332.20052.2006
C84.00144.22674.63475.12702.58386.51541.55144.83364.31345.66955.33685.05062.75562.83727.29086.93196.64132.17482.18121.09891.09981.0997
H92.19823.08981.10122.84882.84613.58443.59414.83361.77651.77662.61913.80943.80692.61314.43093.23814.20113.21284.17215.55334.77025.4735
H102.20962.52291.09763.54212.83394.16522.86814.31341.77651.76793.81684.36043.86103.13645.21053.91244.34492.27993.10314.77314.58145.0478
H112.20952.52411.09762.83083.54222.84914.18065.66951.77661.76793.13693.85574.36213.81413.86382.30173.12713.88554.31276.29485.91216.2095
H122.18473.07742.79771.10322.83442.18314.32715.33682.61913.81683.13691.76383.05312.66962.54082.53823.10194.61554.80086.33685.30635.4809
H132.17642.53103.51531.10202.68372.17144.11515.05063.80944.36043.85571.76382.33813.06432.47803.09922.55664.75334.27876.04275.30164.8897
H142.17842.53713.51692.68271.10304.11502.16982.75563.80693.86104.36213.05312.33811.76544.72204.78064.31403.08452.54653.77423.09782.5688
H152.18623.07982.79542.84031.10424.32622.18252.83722.61313.13643.81412.66963.06431.76544.99204.64264.83632.52013.08713.83892.65763.2117
H163.56613.78654.18542.19644.74411.09896.11097.29084.43095.21053.86382.54082.47804.72204.99201.77091.77556.46976.18598.22677.50927.2765
H172.94653.21442.92672.21244.40291.09805.55606.93193.23813.91242.30172.53823.09924.78064.64261.77091.77565.63065.64557.75647.15167.1735
H182.86362.58923.53532.19954.24571.10015.30746.64134.20114.34493.12713.10192.55664.31404.83631.77551.77565.65175.11057.43497.08676.6700
H192.91473.18192.89864.37412.19155.51501.10012.17483.21282.27993.88554.61554.75333.08452.52016.46975.63065.65171.76372.51402.54263.0954
H202.82662.54883.50394.20972.17975.26181.10252.18124.17213.10314.31274.80084.27872.54653.08716.18595.64555.11051.76372.52663.10102.5439
H214.82384.91475.29486.07653.54097.39232.20331.09895.55334.77316.29486.33686.04273.77423.83898.22677.75647.43492.51402.52661.77621.7767
H224.33754.80454.82455.32482.84786.79482.20051.09984.77024.58145.91215.30635.30163.09782.65767.50927.15167.08672.54263.10101.77621.7752
H234.28644.41475.21915.20082.84626.60042.20061.09975.47355.04786.20955.48094.88972.56883.21177.27657.17356.67003.09542.54391.77671.7752

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 110.518 C1 C3 H10 111.638
C1 C3 H11 111.628 C1 C4 C6 114.892
C1 C4 H12 108.911 C1 C4 H13 108.343
C1 C5 C7 115.281 C1 C5 H14 108.458
C1 C5 H15 108.986 H2 C1 C3 107.942
H2 C1 C4 107.520 H2 C1 C5 107.635
C3 C1 C4 111.731 C3 C1 C5 111.753
C4 C1 C5 110.059 C4 C6 H16 110.756
C4 C6 H17 112.084 C4 C6 H18 110.932
C5 C7 C8 112.612 C5 C7 H19 110.144
C5 C7 H20 109.089 C6 C4 H12 109.472
C6 C4 H13 108.632 C7 C5 H14 108.297
C7 C5 H15 109.209 C7 C8 H21 111.329
C7 C8 H22 111.051 C7 C8 H23 111.067
C8 C7 H19 109.020 C8 C7 H20 109.382
H9 C3 H10 107.791 H9 C3 H11 107.793
H10 C3 H11 107.288 H12 C4 H13 106.237
H14 C5 H15 106.229 H16 C6 H17 107.428
H16 C6 H18 107.688 H17 C6 H18 107.763
H19 C7 H20 106.400 H21 C8 H22 107.779
H21 C8 H23 107.823 H22 C8 H23 107.625
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.096      
2 H 0.099      
3 C -0.550      
4 C -0.207      
5 C -0.251      
6 C -0.496      
7 C -0.209      
8 C -0.479      
9 H 0.135      
10 H 0.147      
11 H 0.145      
12 H 0.117      
13 H 0.125      
14 H 0.117      
15 H 0.109      
16 H 0.143      
17 H 0.145      
18 H 0.140      
19 H 0.128      
20 H 0.122      
21 H 0.144      
22 H 0.139      
23 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.004 -0.067 0.067
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.851 0.347 -0.224
y 0.347 -49.249 0.306
z -0.224 0.306 -48.818
Traceless
 xyz
x -0.818 0.347 -0.224
y 0.347 0.086 0.306
z -0.224 0.306 0.732
Polar
3z2-r21.464
x2-y2-0.602
xy0.347
xz-0.224
yz0.306


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.442 0.035 0.021
y 0.035 11.806 -0.041
z 0.021 -0.041 11.184


<r2> (average value of r2) Å2
<r2> 303.127
(<r2>)1/2 17.411