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5.1.5. Side  reactions  in  strong acids  
197
5.1.6. Alkaline hydrolysis  
198
5.1.7. Alkaline
β
-­‐elimination  
198
5.1.8. Enzymatic degradation  
198
5.1.9. Degradation by  free  radical mechanism  (oxidative-­‐reductive depolymerization –  
ORD)  
200
5.1.10. The Fenton  chemistry  
201
5.2. Polysaccharide degradation: Activation energy and  role of pH  
202
5.2.1.  Introduction  
202
5.2.2. Role of  temperature: Activation  energies and Arrhenius plots  
202
5.2.3. Role of pH.  
206
5.3. Random depolymerisation of  linear  (unbranched) polymers: Changes  in M
w
and M
n
208
5.3.1. Basic  equations  for a pseudo  first order  reaction  
208
5.3.2. Example: Analysis of a polysaccharide degradation  experiment:  
210
5.3.3. Towards  the oligomer  range: Higher
α
 values  
210
5.3.4. Random depolymerisation of  linear  (unbranched) polymers: The  chain  length  
distribution  (W
n
)  
212
6.1. Solution viscosity and  intrinsic viscosity  
216
6.1.1. Viscosity  (symbol
η
) of dilute  solutions  
216
6.1.2.  Intrinsic  viscosity: Definition and determination  
219
6.1.3.  Intrinsic  viscosity of  solid  spheres  
220
6.1.4.  Intrinsic  viscosity of  rigid  rods  
221
6.1.5.  Intrinsic  viscosity of  randomly  coiled polymers  
222
6.1.6. The Mark-­‐Houwink-­‐Sakurada  (MHS)  equation  
223
6.1.7. Using  the MHS  equation  to  find molecular weights  
225
6.1.8. Using  the  intrinsic  viscosity  to determine  the  shape of biopolymers  in  solution  227
6.2. Light  scattering  
229
6.2.1. General  
229
6.2.2. Scattering  from a  single particle  
231
6.2.3. Scattering  from a  large number of  independent particles  
231
6.2.4. Rayleigh-­‐Gans  scattering  from  large particles  (R
G
<
λ
/2).  
234
6.2.5. Light  scattering provides M
w
and R
G,z
 in  case of polydispersity  
236
6.2.6. Calculations of M
w
, A
2
and R
G
 from  light  scattering measurements.  
237
6.2.7. The Zimm diagram.  
240
6.2.8. A note on polyelectrolytes  in  relation  to  light  scattering  
241
6.2.9. Some other practical aspects  
241
6.2.10. Light  scattering  in practise.  
242
6.3. Size-­‐exclusion  chromatography  (SEC) of biopolymers  
244
6.3.1. General  
244
6.3.2. SEC  separation mechanism  
244
6.3.3. SEC  calibration  
246
6.3.4. SEC  ‘universal’  calibration  
248
6.4. Size-­‐exclusion  chromatography combined with on-­‐line  light  scattering  (SEC-­‐
MALLS)  
249
6.4.1. General  
249
6.4.2. R
G
-­‐M analysis  from SEC-­‐MALLS  
255
6.5. SMV: SEC-­‐MALLS with an additional viscosity detector  
257
6.5.1. General  
257
6.5.2. Further analysis  
259