The Atom

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000, 008, 8 1 7, 3 OO 10 ... .. ; . . (180) r + 2__i_ + i [- A- + -^- - 1 r_/VI r f + f r + ^. ^+!L 7i L Iil6_ 13, k l5. L_ IT, +[etc.
' = + 1. 000, 000, 000, 0 L = - i. 000, 000, 000, 0 00 = o. Ooo, ooo, ooo, o00 2 ) 4 = -o. I66, 666, 666, 700 4 )* = +o. 033, 333, 333, 300 5 ) fi = 0. 000, 000, 000, 0 (vt) 6 ) 7 = - o. Oo i, 587, 30 1, 600 7 ) 8 = + 0. 000, 396, 825, 400 8 ) 9 = - 0. 000, 044, 09 1, 600 9 . 0. 000, 000, 000, 0 (i/O 10 (181) The Atom 99 We have to multiply each term in these se
...ries by z>, this being a factor in (178), and this raises the powers of v in each term by unity. Since, by (175), in this series S(?) = (27rK)"S . ..... (182) the sum of all the terms in this series to infinity may be found by the use of the table (67). Taking out the factor 27T/C which appears in every term, we obtain ioo The Atom P2 + Pi = 2a/I. O82, 323{ 1. 000, 000, 000 2- (27T/0) - 1. 000, 000, 000 2--j ( " )!
0. 000, 000, 000 2-g ( " ) 2 0-333, 333, 333 2^ ( " )3 -0. 166, 666, 667 2^5 ( " ) 0.


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