Menjelaskan mengenai Energi Kisi Kristal. Terutama pada materi pengantar fisika Zat Padat. Kristal atau hablur adalah suatu padatan yaitu atom, molekul, atau ion yang penyusunnya terkemas secara teratur dan polanya berulang melebar secara tiga dimensi. Secara umum, zat cair membentuk kristal ketika mengalami proses pemadatan.
3. Persamaan gerak kristal 1D dari berbagai macam partikel diformulasikan dengan membentuk suatu
kelompok yang berisi p buah atom. Kristal dengan N kelompok memiliki Np jumlah atom. Akan ada
sejumlah p persamaan gerak untuk mencari solusi relasi dispersinya.
Persamaan-persamaan gerak suatu kelompok yang terdiri dari 2 jenis atom dengan massa
berbeda (m1 dan m2) dengan m1 > m2 dapat dinyatakan sebagai:
Gambar 1. Rantai kristal dwiatom
4. dengan us, vs, masing-masing merupakan simpangan zarah bermassa m1 dan m2. Dan
dengan mengambil penyelesaian umum gelombang yang berbentuk:
maka didapatkan harga-harga us1 dan vs1 setelah disulihkan ke persamaan (3.24) dalam
persamaan-persamaan berikut:
Kemudian persamaan (3.25) dapat disederhanakan menjadi
yang merupakan dua persamaan serba sama dengan dua peubah dan akan mempunyai
penyelesaian non trivial apabila:
5. Sehingga melalui ekspansi sederhana diperoleh:
Untuk mendapatkan hasil yang eksak, diambil harga-harga istimewa dari ka dalam syarat batas
periodik. Pada ka yang relatif kecil berlaku cos ka 1- k 2a 2/2 + ...... , sehingga kedua akarnya
berharga
sedangkan untuk ka = kedua akarnya berharga:
6. Terlihat adanya dua lengkungan dispersi atau adanya dua cabang yaitu cabang optik dan cabang akustik.
Daerah frekuensi pada
yang artinya dalam keadaan demikian kekisi tidak dapat meneruskan gelombang (gelombang
terpadamkan). Perbedaan cabang optik dan cabang akustik dapat dijelaskan pada daerak k0 atau >>.
Hubungan dispersi kekisi dwiatom ditunjukkan pada Gambar 3.7.
8. Perluasan persamaan gerak untuk koordinat umum 3D menjadi lebih kompleks. Kita bahas
detailnya secara kualitatif dengan mengabaikan penyelesaian secara matematis. Logikanya kita
kembangkan dari solusi dalam kasus 1 dimensi.
Persamaan gerak kekisi Bravais monoatomik yang setiap sel satuannya hanya terdiri dari satu
atom dapat dirumuskan seperti halnya pada persamaan (3.5). Dengan bentuk penyelesaian umum
persamaan gelombang 3D untuk gelombang datar.
Generalisasi Untuk Kristal 3 Dimensi
dengan k merupakan arah penjalaran gelombang dan rs adalah posisi vektor atom ke-s. Vektor A
merupakan amplitudo yang mempunyai arah sama dengan arah vibrasi atom. Sehingga vektor ini bila
dipolarisasikan menjadi gelombang longitudinal untuk A sejajar dengan k, atau gelombang
transversal untuk A tegak lurus k. Jadi akan ada 1 gelombang longitudinal dan 2 gelombang
transversal dalam vibrasi kekisi 3D yang ditunjukkan pada Gambar 3.8.
10. Introduction
Mercury is the closest planet to the Sun and the
smallest one in the Solar System—it’s only a bit
larger than the Moon
6th Grade
11. Woah!
It can be the part of the presentation
where you introduce yourself, write your
email...
6th Grade
12. 01
Section
You can describe the topic of
the section here
Table of Contents
02
Section
You can describe the topic of
the section here
03
Section
You can describe the topic of
the section here
04
Section
You can describe the topic of
the section here
6th Grade
14. The Slide Title Goes
Here!
Do you know what helps you make your point clear?
Lists like this one:
● They’re simple
● You can organize your ideas clearly
● You’ll never forget to buy milk!
And the most important thing: the audience won’t miss
the point of your presentation
6th Grade
15. Divide the Content
Mercury
It’s the closest planet to the
Sun and the smallest one in
the Solar System. It’s only a
bit larger than the Moon
Venus
Venus has a beautiful name
and is the second planet from
the Sun. It’s hot and has a
poisonous atmosphere
6th Grade
16. Mercury
It’s the closest planet to
the Sun and the smallest
one in the Solar System
You can Use Three Columns
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mars
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
6th Grade
18. Mars
Mars is actually a very
cold place
Who is she...
Neptune
It’s the farthest planet
from the Sun
Saturn
Saturn is a gas giant
and has several rings
Jupiter
It’s the biggest planet
in the Solar System
6th Grade
19. Venus
Venus is the second
planet from the Sun
Reviewing is a Good Idea
Saturn
Saturn is a gas giant and
has several rings
Jupiter
Jupiter is the biggest
planet of them all
Neptune
Neptune is the farthest
planet from the Sun
Mars
Mars is actually a very
cold place
Mercury
It’s the closest planet
to the Sun
6th Grade
23. A Picture Always
Reinforce the
Concept
Images reveal large amounts of data, so
remember: use an image instead of a long text.
Your audience will appreciate it
6th Grade
25. 333,000.000
earths is the Sun’s mass
9h 55m 23s
is Jupiter's rotation period
386,000 km
is the distance between Earth and the Moon
6th Grade
26. 25%
Mercury
50%
Venus
75%
Mars
It’s the closest planet to
the Sun and the smallest
one in our System
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
6th Grade
27. Desktop Software
You can replace the image on the screen
with your own work. Just right-click on it
and select “Replace image”
6th Grade
28. Tablet App
You can replace the image on the screen
with your own work. Just right-click on it
and select “Replace image”
6th Grade
29. Smartphone Web
You can replace the image on the screen
with your own work. Just right-click on it
and select “Replace image”
6th Grade
31. Sofia Hill
You can talk a bit about
this person here
Our Students
Kaliyah Harris
You can talk a bit about
this person here
6th Grade
32. This is a Map
Mercury
It’s the closest planet
to the Sun
Venus
Venus is the second
planet from the Sun
Mars
Despite being red, is
actually a cold place
6th Grade
33. A Timeline Always Works Fine
Venus
It’s the second planet
from the Sun
Neptune
It’s the farthest planet
from the Sun
Mars
Mars is actually a
very cold place
Mercury
It’s the closest planet
to the Sun
Week 1 Week 2 Week 3 Week 4
6th Grade
34. About me
Una
Descripción
Sobre Mi
Mi nombre
Pasatiempos
Color favorito
Mi edad
Amigo/a(s)
Una película
Answer Answer
Answer Answer
Answer Answer
6th Grade
35. And the Same Goes For Tables
Inglés Español Inglés Español
Chicken Snake
Cow Lion
Pig Giraffe
Horse Hippopotamus
Sheep Gorilla
Rabbit Zebra
Animales de Granja Animales de la Selva
6th Grade
36. A Graph
Mercury
It’s the closest planet
to the Sun
Venus
Venus is the second
planet from the Sun
Mars
Despite being red, it’s
actually a cold place
Follow the link in the graph to modify its data and then
paste the new one here. For more info, click here
6th Grade
37. Difference Between Letters
S
Mercury
It’s the closest planet
to the Sun
C
Venus
Venus is the second
planet from the Sun
Z
Mars
Despite being red, it’s
actually a cold place
6th Grade
38. Activity About Numbers
0
4
5
2
8
7
1
3
9
6
Relaciona los números con el
nombre correcto
Seis
Siete
Ocho
Nueve
Cero
Uno
Dos
Tres
Cuatro
Cinco
Answer
Answer
Answer
Answer
Answer
Answer
Answer
Answer
Answer
Answer
6th Grade
39. Guess the Objects
Relaciona los objetos y escribe el
nombre correcto
1
2
3
4
5
Answer
Answer
Answer
6
1
2
3
Answer
Answer
Answer
4
5
6
6th Grade
40. Write the Correct Answer
El --- cruzaba el largo
río nadando
La -------- volaba
cerca del parque
Las ------ son un
alimento muy rico
La ---- cantaba en
una piedra
6th Grade
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6th Grade
43. Alternative Resources
Photos
● Medium shot girl typing
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44. Resources
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Storyset
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52. JANUARY FEBRUARY MARCH APRIL MAY JUNE
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JANUARY FEBRUARY MARCH APRIL
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2016 2017 2018 2019 2020
“Despite being red,
Mars is a cold place
full of iron oxide”
“Mercury is closest
planet to the Sun
and the smallest”
“Neptune is the
farthest-known
planet from the Sun”
“Saturn is a gas
giant and has
several rings”
“Venus has a
beautiful name and
is the second planet”
63. Premium infographics...
“Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
TITLE 1
75%
75%
