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Консультация № 186437
10.07.2012, 10:49
0.00 руб.
10.07.2012, 12:44
0
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Зная, что нормированная собственная волновая функция, описывающая основное состояние электрона в атоме водорода, имеет вид
, найти среднее расстояние <r> электрона от ядра.
Зная, что нормированная собственная волновая функция, описывающая основное состояние электрона в атоме водорода, имеет вид
, найти среднее расстояние <r> электрона от ядра.
Обсуждение
10.07.2012, 14:50
общий
это ответ
Здравствуйте, Massimo!
Похоже, у Вас в условии потерялся квадратный корень. На самом дел нормированная волновая функция для основного состояния атома водорода имеет вид
Сначала выразим плотность радиального распределения.
Вероятность того, что электрон находится в небольшом объёме dV вокруг точки расположенной на расстоянии r от ядра (плотность вероятности)
Найдём вероятность того, что электрон находится на расстоянии r от ядра (в тонком слое толщиной dr). Для этого умножим плотность вероятности нa объём слоя:
Чтобы найти среднее расстояние интегрируем плотность радиального распределения, умноженную на расстояние
Ответ <r>=1.5a
Похоже, у Вас в условии потерялся квадратный корень. На самом дел нормированная волновая функция для основного состояния атома водорода имеет вид
Сначала выразим плотность радиального распределения.
Вероятность того, что электрон находится в небольшом объёме dV вокруг точки расположенной на расстоянии r от ядра (плотность вероятности)
Найдём вероятность того, что электрон находится на расстоянии r от ядра (в тонком слое толщиной dr). Для этого умножим плотность вероятности нa объём слоя:
Чтобы найти среднее расстояние интегрируем плотность радиального распределения, умноженную на расстояние
Ответ <r>=1.5a
5
Спасибо!
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