ΣΧΟΛΙΚΟ ΒΙΒΛΙΟ: Οι κυματοσυναρτήσεις ψ που αποτελούν λύσεις της εξίσωσης Scrodinger, για το άτομο του υδρογόνου, ονομάζονται ατομικά τροχιακά.
Τα ατομικά τροχιακά αποτελούν συναρτήσεις της θέσης του ηλεκτρονίου στο άτομο δηλ. είναι είναι της μορφής ψ(x,y,z) όπου x, y, z είναι οι συντεταγμένες που καθορίζουν τη θέση του e γύρω από τον πυρήνα.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Τα ατομικά τροχιακά αποτελούν συναρτήσεις της θέσης του ηλεκτρονίου στο άτομο δηλ. είναι είναι της μορφής ψ(x,y,z) όπου x, y, z είναι οι συντεταγμένες που καθορίζουν τη θέση του e γύρω από τον πυρήνα.
Δείτε λοιπόν τι είναι τα x,y,z:
Από την εξίσωση Scrodinger π.χ. για
n=2, l=1, ml=0 προκύπτει η κυματοσυνάρτηση ψ(2pz) που περιέχει τις
μεταβλητές r,θ,φ. Το τρισδιάστατο γράφημα του τετραγώνου της ψ(2pz) ως
προς τις γωνίες θ,φ δίνει τον γνωστό αλτήρα στον άξονα z (στον οποίο
υπάρχει πιθανότητα 90-99 % να βρεθεί το e).
Αυτό το σύνολο σημείων που υπάρχει πιθανότητα να βρεθεί το e λέγεται ηλεκτρονιακό νέφος 2pz ή απλά τροχιακό 2pz (γι αυτό τη φράση ατομικό τροχιακό κανονικά πρέπει να την κρατάμε μόνο για το ψ).
Αν στη εξίσωση Scrodinger η τριάδα τιμών n,l, ml δεν είναι επιτρεπτή τότε προκύπτει ψ=0 (απουσία e).
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου