From e44161edc2fa03abeb8697d121845e6d6da42751 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Gr=C3=B6ne=2C=20Tjark=20Leon=20Raphael?=
 <tjark.leon.raphael.groene@uni-hamburg.de>
Date: Thu, 17 Apr 2025 10:29:34 +0000
Subject: [PATCH] Update file Solutions.md

---
 Solutions.md | 16 ++++++++++------
 1 file changed, 10 insertions(+), 6 deletions(-)

diff --git a/Solutions.md b/Solutions.md
index 9128206..9b306f4 100644
--- a/Solutions.md
+++ b/Solutions.md
@@ -31,10 +31,14 @@ Volumen der Einheitszelle: 59.9 ų
 
 
 Volumes der einzelnen Ionen (ų):
+- $`V_{\rm{Sr}} = \frac{4\pi}{3} (1.44)^{3} = 12,51 `$
+- $`V_{\rm{Ti}} = \frac{4\pi}{3} (0.605)^{3} = 0.928`$
+- $`V_{\rm{O}} = \frac{4\pi}{3} (1.38)^{3} = 11.01 `$
 
 
-Anzahl der Ionen in einer einheitszelle:
-
+Volumenanteil:
+$` V_{\rm{Ionen}} =  V_{\rm{Sr}} + V_{\rm{Ti}}+ 3 \cdot V_{\rm{O}} = 46.46`$ ų <br>
+$` \frac{V_{Ionen}}{V_{zelle}} = 0.775`$
 
 
 #### Spinell
@@ -42,13 +46,13 @@ Volumen der Einheitszelle: 528.4 ų
  
 
 Volumes der einzelnen Ionen (ų):
-- $`V_{Mg} = \frac{4\pi}{3} (0.57)^{3} = 0.775 `$
-- $`V_{Al} = \frac{4\pi}{3} (0.535)^{3} = 0.641`$
-- $`V_{O} = \frac{4\pi}{3} (1.12)^{3} = 11.50 `$
+- $`V_{\rm{Mg}} = \frac{4\pi}{3} (0.57)^{3} = 0.775 `$
+- $`V_{\rm{Ti}} = \frac{4\pi}{3} (0.535)^{3} = 0.641`$
+- $`V_{\rm{O}} = \frac{4\pi}{3} (1.40)^{3} = 11.50 `$
 
 
 Volumenanteil:
-$` V_{Ionen} = 8 \cdot V_{Mg} + 16 \cdot V_{Al} + 32 \cdot V_{O} = 384.3`$ ų <br>
+$` V_{\rm{Ionen}} =  8 \cdot V_{\rm{Mg}} + 16 \codt V_{\rm{Al}}+ 32 \cdot V_{\rm{O}} = 384.3`$ ų <br>
 $` \frac{V_{Ionen}}{V_{zelle}} = 0.727`$
 
 
-- 
GitLab