<s>
Simply	O
stated	O
,	O
Klaiber	B-Algorithm
's	I-Algorithm
law	I-Algorithm
proposes	O
that	O
"	O
the	O
silicon	B-Architecture
wafer	I-Architecture
size	O
will	O
dictate	O
the	O
largest	O
diameter	O
of	O
ultrapure	O
water	O
supply	O
piping	O
needed	O
within	O
a	O
semiconductor	B-Architecture
wafer	I-Architecture
factory.	O
"	O
</s>
<s>
These	O
microchips	O
are	O
fabricated	O
on	O
round	O
,	O
thin	O
substrates	B-Architecture
of	O
silicon	O
,	O
called	O
wafers	B-Architecture
.	O
</s>
<s>
He	O
recognized	O
that	O
the	O
semiconductor	O
's	O
jump	O
from	O
using	O
100mm	O
to	O
150mm	O
diameter	O
silicon	B-Architecture
wafers	I-Architecture
(	O
when	O
the	O
largest	O
conduits	O
in	O
UPW	O
systems	O
of	O
PVDF	O
were	O
only	O
110mm	O
in	O
outer	O
diameter	O
)	O
was	O
soon	O
followed	O
by	O
the	O
need	O
for	O
larger	O
160mm	O
PVDF	O
conduits	O
.	O
</s>
<s>
The	O
next	O
jump	O
to	O
200mm	O
silicon	B-Architecture
wafers	I-Architecture
a	O
few	O
years	O
later	O
required	O
225mm	O
PVDF	O
conduits	O
.	O
</s>
<s>
More	O
recently	O
,	O
the	O
semiconductor	O
's	O
jump	O
to	O
300mm	O
wafers	B-Architecture
has	O
required	O
the	O
need	O
for	O
even	O
larger	O
UPW	O
systems	O
using	O
315mm	O
conduits	O
.	O
</s>
<s>
Since	O
Klaiber	O
's	O
earlier	O
postulation	O
,	O
the	O
relationship	O
between	O
wafer	B-Architecture
size	O
and	O
the	O
diameter	O
of	O
PVDF	O
conduits	O
has	O
been	O
observed	O
by	O
others	O
.	O
</s>
<s>
Unbeknownst	O
to	O
Libman	O
,	O
an	O
identical	O
position	O
to	O
Klaiber	B-Algorithm
's	I-Algorithm
Law	I-Algorithm
was	O
discussed	O
during	O
a	O
2010	O
presentation	O
;	O
that	O
the	O
current	O
HP	O
(	O
high	O
purity	O
)	O
PVDF	O
piping	O
size	O
is	O
limited	O
to	O
12	O
inch	O
(	O
305mm	O
)	O
and	O
that	O
historically	O
the	O
size	O
of	O
the	O
wafer	B-Architecture
coincided	O
with	O
the	O
diameter	O
of	O
the	O
main	O
lines	O
.	O
</s>
<s>
Libman	O
questioned	O
if	O
the	O
trend	O
would	O
continue	O
for	O
450mm	O
wafers	B-Architecture
.	O
</s>
