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Silicate Mineral Chemistry and Phase Diagrams - Assignment 4 | GEOS 3010, Assignments of Geology

Material Type: Assignment; Professor: Petcovic; Class: Minerals & Rocks; Subject: Geosciences; University: Western Michigan University; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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Silicate Mineral Chemistry and Phase Diagrams Name___________________________
GEOS 3010 Take Home Assignment #4
Consider the following chemical analyses of some greenish minerals.
Oxides Sample #1 Sample #2 Sample #3 Sample#4
SiO240.99 38.11 33.72 31.85
FeO 8.58 31.48 47.91 58.64
MnO 0.2 0.22 0.41 0.85
MgO 50.00 30.50 18.07 8.49
Totals –> 99.77 100.31 100.11 99.83
Each of the bottle green minerals are found as well formed, Orthorhombic crystals in dense
phaneritic (igneous) rocks.
Let us determine the chemical formula for these minerals (all are in the same mineral group!!!).
These data illustrate a significant limitation with analyses of oxygen-containing compounds (compared to
the analyses we worked with for sulphide minerals). There is no convenient method of analyzing for
oxygen (O) so that the analyses are expressed as oxides of each element instead of the weight percent of
the elements themselves.
Instead of converting the analyses to gram atomic weight proportions we convert to gram
molecular weight proportions. This is convenient because the various silicate mineral subclasses (neso,
soro , ino, cyclo, phyllo, and tecto- silicates) have specific ratios of metals to silica (as we will see). The
conversion to gram molecular proportions (gmp) is accomplished by dividing the weight percent oxide by
the gram formula weight of each oxide {i.e. for SiO2: (40.99)/(28 + (2*16)) = 0.68}
Determine the gram molecular proportions (gmp) for each oxide for each sample in the table below
Oxide #1 (gmp) #2 (gmp) #3 (gmp) #4 (gmp)
FeO
MnO
MgO
Total Metals (TM)
SiO2
TM/SiO2
1. What is the ratio of molecular proportions of total metal oxides to silica (SiO2), that is molecular
proportion of total metals/molecular proportion of SiO2 in each sample? (This is a WHOLE
NUMBER ! for these samples, analytical error may result in slight variation from WHOLE
NUMBER RATIOS)
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Silicate Mineral Chemistry and Phase Diagrams Name___________________________

GEOS 3010 Take Home Assignment

Consider the following chemical analyses of some greenish minerals.

Oxides Sample #1 Sample #2 Sample #3 Sample# SiO 2 40.99 38.11 33.72 31. FeO 8.58 31.48 47.91 58. MnO 0.2 0.22 0.41 0. MgO 50.00 30.50 18.07 8. Totals –> 99.77 100.31 100.11 99.

Each of the bottle green minerals are found as well formed, Orthorhombic crystals in dense

phaneritic (igneous) rocks.

Let us determine the chemical formula for these minerals (all are in the same mineral group!!!).

These data illustrate a significant limitation with analyses of oxygen-containing compounds (compared to

the analyses we worked with for sulphide minerals). There is no convenient method of analyzing for

oxygen (O) so that the analyses are expressed as oxides of each element instead of the weight percent of

the elements themselves.

Instead of converting the analyses to gram atomic weight proportions we convert to gram

molecular weight proportions. This is convenient because the various silicate mineral subclasses (neso,

soro , ino, cyclo, phyllo, and tecto- silicates) have specific ratios of metals to silica (as we will see). The

conversion to gram molecular proportions (gmp) is accomplished by dividing the weight percent oxide by

the gram formula weight of each oxide {i.e. for SiO 2 : (40.99)/(28 + (2*16)) = 0.68}

Determine the gram molecular proportions (gmp) for each oxide for each sample in the table below

Oxide #1 (gmp) #2 (gmp) #3 (gmp) #4 (gmp)

FeO

MnO

MgO

Total Metals (TM)

SiO 2

TM/SiO 2

1. What is the ratio of molecular proportions of total metal oxides to silica (SiO 2 ), that is molecular

proportion of total metals/molecular proportion of SiO 2 in each sample? (This is a WHOLE

NUMBER! for these samples, analytical error may result in slight variation from WHOLE

NUMBER RATIOS)

2. What is an appropriate generic chemical formula for this mineral?

(Hint: remember that the oxygen atoms from the metal oxides, as well as the 2 oxygen atoms in

SiO 2 , should be assigned to the silica complex ion part of the formula as in SiOX, where x is the

total oxygen atoms in all analyzed oxides). What the heck is this mineral (group) anyway?

3. If we ignore the minor amounts of Manganese in each sample use the molecular proportions to

write a chemical formula for each analysis using the model of: (Mg xFe1-x)SiO. This is done

by calculating the molecular proportion (mp) of Mg to molecular proportion of total metals:

Mg mp/Mg mp+Femp, where Mg mp is the molecular proportion of Mg in each sample, etc. and using

this value as x

Chemical formula for:

Sample #1___________________

Sample #2___________________

Sample #3___________________

Sample #4___________________

Show all your calculations below.

6.^

Plot the following mineral formulas on the ternary diagram and label each point with the appropriate letter

Wollastonite {Ca

Si 2

O 2

q.^

(Ca

Mg.

).5^2

Si^2

O^6

r.^

(Ca

Fe.

).5^2

Si^2

O^6

s.^

(Ca

Fe. Mg.

).4^2

Si^2

O^6

t.^

(Ca

Fe. Mg.

Si 2

O^26

a.^

What is (are) the mineralgroup(s) represented on thisphase diagram?

b.^

Which mineral or minerals (q, r,s, t) are the most likely to befound in naturally occurringrocks?

c.^

Which mineral or minerals (q, r,s, t) are not found in naturallyoccurring rocks?

d.^

What is the explanation for youranswer to “c”. Hint: The term“miscibility” should be in youranswer

Enstatite {Mg

Si 2

O 2

}^6

Ferrosillite {Fe

Si 2

O 2