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Консультация № 172738
29.09.2009, 15:28
25.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Пожалуйста, помогите решить задачу.
Теория атома водорода по Бору:
6.36. Определить, какая энергия требуется для полного отрыва электрона от ядра однократно ионизованного атома гелия, если: 1) электрон находится в основном состоянии; 2) электрон находится в состоянии, соответствующем главному квантовому числу n = 3.
Нужно решение. . .
Ответ: 1) 54,4 эВ; 2) 6,04 эВ.
Теория атома водорода по Бору:
6.36. Определить, какая энергия требуется для полного отрыва электрона от ядра однократно ионизованного атома гелия, если: 1) электрон находится в основном состоянии; 2) электрон находится в состоянии, соответствующем главному квантовому числу n = 3.
Нужно решение. . .
Ответ: 1) 54,4 эВ; 2) 6,04 эВ.
Обсуждение
29.09.2009, 16:36
общий
это ответ
Здравствуйте, kot31.
Ион гелия с одним электроном подобен атому водорода. Энергия в стационарном состоянии будет описываться формулой
En=-(1/n2)*(Z2*me*e4/8h2*e02) при n=1.2.3... ; Z=2; me=9.1*10-31 кг; е=1,6*10-19 Кл; h=6.63*10-34 Дж*с; е0=8,85*10-12 Ф/м.
Энергия, необходимая для перехода атома из одного стационарного состояния в другое E=En-Em
Полный отрыв электрона от ядра означает что n=[$8734$], тогда Е=0.
Следовательно, энергия необходимая для полного отрыва электрона от ядра E=En-0 = En
Тогда, для первого случая, n=1, используя указанную формулу (знак минус означает, что электрон находится в связанном состоянии - при расчете энергии в данном случае его опускаем)
E1=(1/12)*(22*9.1*10-31*(1.6*10-19)4/(8*(6.63*10-34)2*(8.85*10-12)2)=8.8*10-18 Дж = 55 эВ;
Для второго случая, n=3, все то же, только коэффициент в начале формулы другой
E3=E1/32=E1/9=55/9=6 эВ
Удачи
Ион гелия с одним электроном подобен атому водорода. Энергия в стационарном состоянии будет описываться формулой
En=-(1/n2)*(Z2*me*e4/8h2*e02) при n=1.2.3... ; Z=2; me=9.1*10-31 кг; е=1,6*10-19 Кл; h=6.63*10-34 Дж*с; е0=8,85*10-12 Ф/м.
Энергия, необходимая для перехода атома из одного стационарного состояния в другое E=En-Em
Полный отрыв электрона от ядра означает что n=[$8734$], тогда Е=0.
Следовательно, энергия необходимая для полного отрыва электрона от ядра E=En-0 = En
Тогда, для первого случая, n=1, используя указанную формулу (знак минус означает, что электрон находится в связанном состоянии - при расчете энергии в данном случае его опускаем)
E1=(1/12)*(22*9.1*10-31*(1.6*10-19)4/(8*(6.63*10-34)2*(8.85*10-12)2)=8.8*10-18 Дж = 55 эВ;
Для второго случая, n=3, все то же, только коэффициент в начале формулы другой
E3=E1/32=E1/9=55/9=6 эВ
Удачи
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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