Download e-book for iPad: Vector analysis in chemistry by Donald D. Fitts

By Donald D. Fitts

Show description

Read Online or Download Vector analysis in chemistry PDF

Similar classics books

Download e-book for kindle: Tolstoy's War and Peace by Marianne Sturman

The unique CliffsNotes examine publications supply professional statement on significant topics, plots, characters, literary units, and historic history. the most recent iteration of titles during this sequence additionally function glossaries and visible components that supplement the vintage, ordinary structure. In CliffsNotes on battle and Peace, you find Leo Tolstoy's masterpiece -- an epic novel of Russian society within the early nineteenth century.

The Wind in the Willows - download pdf or read online

In Kenneth Grahame's vintage story of the River financial institution, Mole, Rat, Toad, and Badger make acquaintances, rejoice, and get into difficulty within the Wild wooden. whilst Toad is imprisoned for stealing a motor vehicle, the buddies locate themselves in a struggle for Toad corridor. stick to the whimsical adventures of the Wild wooden within the Calico Illustrated Classics version of Grahame's The Wind within the Willows.

Extra resources for Vector analysis in chemistry

Sample text

3-61) yields y (0V20 + V0*V0)riu - f (s0V0)*ds which is known as the first form o f Green’s theorem. (3-72) STOKES’ THEOREM 49 FIGURE 3-6 A second form o f Green’s theorem may be obtained as follows: First we exchange the roles of 0 and 0 in Eq. (3-72) to obtain / F ( 0 7 20 + 7 0 - 7 0 ) dv = fs (0 7 0 )-d s (3-73) We next subtract Eq. (3-73) from Eq. (3-72) and thereby obtain the desired result: f v (0 7 20 ~ 0 7 20) dv = fs (0 7 0 - 0 7 0 ) • ds Another useful integral relationship may be obtained by setting 0 = 1 in Eq.

W 6 is more complicated for this choice o f axes than it was for the original choice. We begin by considering Wi and w2: Wj = ioy + joy + kotz w2 = i/Jjp + jPy + kfiz Since atom B lies in the xz plane, the bond vector w t also lies in that plane and we have ay = 0. Since atoms A and C lie on the z = CYCLOHEXANE-CHAIR FORM 25 oig - -fiz . Furthermore, the magnitude of Wi and w 2 both have a value a: Wj • Wi = a *2 + a w2 • w2 y2 + a 2= = px 2+py2 + pz2-a 2 Thus we obtain the relations ag - a 2 -ax 2 Py2 =a2 - fig2 - px 2 =a2 - a z2 - p x 2 =%2- ^ 2 so that at this point Wj and w 2 have only two unknowns, ax and wt - iax + k(a 2 - otJC2)1/2 w2 = ipx + j(<*jc2 - Px2?

Thus, the final bond vectors are -:h /l Wi =1 W2 . y/2 a +k3 . a * ' 3 “ +) 3 J ' k 3 . y / 2X. V 6 . a W3 - * 3 '’ *> 3 ' + k 3 . a w4 = - i - r — a - k — (2-25) . y / 2 . V6 Ws=-iT fl-J1rfl+kJ W6 = 1^ 3- j ^ a - k ^ This representation of the bond vectors in the chair conformation of cyclohexane is completely equivalent to the representation in Eqs. (2-24). The two sets differ only in a rotation of the arbitrarily chosen set of cartesian coordinate axes. We now consider the hydrogen atoms in the chair conformation.

Download PDF sample

Rated 4.84 of 5 – based on 15 votes