Page 457 - index
P. 457
Ԧɬɤɟɧ ɩɚɪɚɝɪɚɮɬɚ H '" / " ԕɚɬɵɧɚɫɵɧ ɛɨɣɥɵԕ ɞɟɮɨɪɦɚɰɢɹ ɞɟɩ
ɚɬɚԑɚɧɛɵɡ. ȿɧɞi ɫɵɪɵԕɬɵԙ ɤԧɥɞɟɧɟԙiɧiԙ ԧɡɝɟɪɭiɧ 'ɚ ɚ1 ɚ ɞɟɩ ɚɥɵɩ, 'ɚ
ɚ
ԕɚɬɵɧɚɫɵɧ ɤԧɥɞɟɧɟԙ ɞɟɮɨɪɦɚɰɢɹ ɞɟɩ ɚɬɚɣɦɵɡ ɞɚ, H c ԥɪɩiɦɟɧ ɛɟɥɝiɥɟɣɦiɡ.
Ⱦɟɦɟɤ:
H c 'ɚ . (2.11)
ɚ
Ʉԧɥɞɟɧɟԙ ɞɟɮɨɪɦɚɰɢɹɧɵԙ ɛɨɣɥɵԕ ɞɟɮɨɪɦɚɰɢɹԑɚ ԕɚɬɵɧɚɫɵɧɵԙ ɚɛɫɨɥɸɬ
ɲɚɦɚɫɵ ɤԧɥɞɟɧɟԙ ɞɟɮɨɪɦɚɰɢɹɧɵԙ ɤɨɷɮɮɢɰɢɟɧɬi ɧɟɦɟɫɟ ɉɭɚɫɫɨɧ
ɤɨɷɮɮɢɰɢɟɧɬi ɞɟɩ ɚɬɚɥɚɞɵ.
P Hc . (2.12)
H
ɉɭɚɫɫɨɧ ɤɨɷɮɮɢɰɢɟɧɬi ɞɟ ( P ) ɫɟɪɩiɦɞiɥiɤ ɦɨɞɭɥiɧiԙ ɛiɪiɧɲi ɬԛɪi (ȿ)
ɫɟɤiɥɞi, ɦɚɬɟɪɢɚɥɞɚɪɞɵԙ ɟɪɟɤɲɟɥiɤɬɟɪiɧ ɤԧɪɫɟɬɟɬiɧ ɬɚԑɵ ɛiɪ ɬԝɪɚԕɬɵ ɲɚɦɚ –
ɦɚɬɟɪɢɚɥɞɵԙ ɫɢɩɚɬɬɚɦɚɫɵ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ.
Ʉԧɥɞɟɧɟԙ ɞɟɮɨɪɦɚɰɢɹɧɵԙ ɤɨɷɮɮɢɰɢɟɧɬiɧiԙ ɤԧɦɟɝiɦɟɧ ɫɨɡɵɥԑɚɧ ɧɟɦɟɫɟ
ɫɵԑɵɥԑɚɧ ɡɚɬɬɚɪɞɵԙ ɤԧɥɟɦiɧiԙ ԧɡɝɟɪɭiɧ ɬɚɛɭԑɚ ɛɨɥɚɞɵ.
ɋɵɪɵԕɬɵԙ ԝɡɵɧɞɵԑɵ l, ɚɥ ɨɧɵԙ ɚɭɞɚɧɵ Ⱥ k a 2 ɛɨɥɫɵɧ. Ȼԝɥ ɠɟɪɞɟɝi N
ɤԧɥɞɟɧɟԙ ԕɢɦɚɧɵԙ ɝɟɨɦɟɬɪɢɹɥɵԕ ɟɪɟɤɲɟɥiɤɬɟɪiɧɟ ɛɚԑɵɧɵɲɬɵ
ɤɨɷɮɮɢɰɢɟɧɬ. Ɇɵɫɚɥɵ, ɤԧɥɞɟɧɟԙ ԕɢɦɚ ɬԧɪɬɛԝɪɵɲ ɛɨɥɫɚ (ԧɥɲɟɦɞɟɪi «ɚ»
ɠԥɧɟ «ɜ»), ɨɧɞɚ N=a/ɜ; ɤԧɥɞɟɧɟԙ ԕɢɦɚ ɞɢɚɦɟɬɪi d-ԑɚ ɬɟԙ ɞԧԙɝɟɥɟɤ ɛɨɥɫɚ,
ɨɧɞɚ N = S/4.
ɋɵɪɵԕɬɵԙ ɞɟɮɨɪɦɚɰɢɹԑɚ ɞɟɣiɧɝi ɤԧɥɟɦi V k a2 " ɛɨɥɫɵɧ.
Ⱦɟɮɨɪɦɚɰɢɹ ɤɟɡiɧɞɟ ɫɵɪɵԕɬɵԙ ԝɡɵɧɞɵԑɵ "1 " '" , ɚɥ ɚɭɞɚɧɵ
Ⱥ1 k(a 'ɚ)2 ɛɨɥɵɩ ԧɡɝɟɪɫiɧ. ȿɧɞi ɨɧɵԙ ɤԧɥɟɦi V1 k(l 'l)(a 'a)2
ɛɨɥɚɞɵ. Ʉԧɥɟɦiɧiԙ ɫɚɥɵɫɬɵɪɦɚɥɵ ԧɡɝɟɪɭiɧ 'V ɞɟɩ ɛɟɥɝiɥɟɫɟɤ, ɨɧɞɚ:
'V V1 V .
V
ɋɨԙԑɵ ɮɨɪɦɭɥɚɧɵ ɬԛɪɥɟɧɞiɪɟɣiɤ,
kl(1 'l a 2 (1 'a )2 ka 2l
l a
> @'V
k (l 'l)(a 'a)2 ka 2l ka 2l kla 2 (1 H )(1 H c)2 1 .
ka 2l
kla 2
H c -ɬiԙ ɨɪɧɵɧɚ PH -ɞi ԕɨɹɦɵɡ. ɋɨɞɚɧ ɤɟɣiɧ:
'V (1 H )(1 PH )2 1.
ɀɚԕɲɚɧɵ ɚɲɵɩ, H ɚɡ ɲɚɦɚ ɛɨɥԑɚɧɞɵԕɬɚɧ, ɨɧɵԙ ɤɜɚɞɪɚɬɬɚɪɵ ɦɟɧ ɤɭɛiɧ
ɚɛɫɨɥɸɬ ɚɡ ɲɚɦɚ ɪɟɬiɧɞɟ ɟɫɤɟɪɭɫiɡ ԕɚɥɞɵɪɫɚԕ:
'V H (1 2P) .
(2.13)
Ɍԥɠiɪɢɛɟɧiԙ ɤԧɪɫɟɬɭiɧɟɧ ɫɵɪɵԕɬɚɪ ɫɨɡɵɥԑɚɧɞɚ ɨɧɵԙ ɤԧɥɟɦi ɤԧɛɟɣiɩ,
ɫɵԑɵɥԑɚɧɞɚ ɤԧɥɟɦiɧiԙ ɚɡɚɹɬɵɧɵɧ ɛiɥɟɦiɡ. ɋɨɧɞɵԕɬɚɧ ɛɚɪɥɵԕ ɞɟɪɥiɤ
ɡɚɬɬɚɪɞɵԙ ɤԧɥɞɟɧɟԙ ɞɟɮɨɪɦɚɰɢɹɫɵɧɵԙ ɤɨɷɮɮɢɰɢɟɧɬi 0,5 ɫɚɧɵɧɚɧ ɤɟɦ
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