How To Polymerize A Polymer

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Overview Phase Separated Polymerizations: 1. Precipitation Polymerization: (1-20 µm) Polymerization starts in the homogeneous solution phase as polymer chain grows-phase separation occurs with precipitation of the polymer begin homogeneous convert to heterogeneous bulk or solution polymerization occurs in both solution and solid phases Components: 1. Monomer 2. Solvent (optional) 3. Initiator-soluble in initial reaction medium Polymer solution Polymer solution Precipitated polymer Overview Phase Separated Polymerizations: 2. Suspension Polymerization: (0.5-10 µm) Droplets of monomer and initiator are suspended in the continuous phase, then polymerized. The droplets are prevented from coalescing by: agitation (also determines size) use of a stabilizer (called surfactant or dispersant and often emulsifier) Components: 1. Monomer (aka: discontinuous phase) 2. Continuous phase (usually water) 3. Initiator-soluble in monomer 4. Stabilizer (often less than 0.1 wt% - no micelle emulsion) Overview Phase Separated Polymerizations 3. : (0.01-10 µm) Polymerization is propagated in micelles, which are stable structures of stabilizer (aka: surfactant or emulsifier) that surround monomer, usually in a water continuous phase. Components: 1. Monomer 2. Continuous phase (usually water) 3. Initiator-soluble in water (continuous phase) 4. Surfactant (often 1-5 wt%) Surfactant: O - Na + O Sodium laurate Non-polar tail Polar head Br - N + Dodecyl trimethyl ammonium bromide 1

Concepts Key to Emulsion and = Micelles water Conc. CMC monomer CMC = Critical micelle concentration Concepts CMC Concepts CMC 2

Concepts Droplet vs. Micelle I R. Stages of I II III Polymerization Rate Time 3

Stages of 2-15% of total polymer conversion I Process facilitated by capturing radicals Number of particles increases, therefore rate increases Particle number stabilizes at 0.1% of original micelle concentration (10 13-10 15 particles per ml) As particle grows, absorbs more surfactant Polymerization Rate Surfactant conc. falls below CMC Inactive micelles dissolve into solution Stage I is finished when all surfactant is adsorbed to particles Time Stages of II Polymerization Rate Particle number remains constant Slight increase in rate due to Trommsdorf effect Stage II finished when the droplets disappear Time Stages of III Polymerization Rate Particle number remains constant [M] decreases, therefore rate decreases Time 4

Rate of Polymerization Once inside a particle, a radical propagates according to: radical propagation = r p = k p [M] note: k p is the same as bulk radical polym. Overall rate of polymerization: R p = r p [P. ] = kp [M] [P. ] Rate of Polymerization (cont.) [P. ] can be substituted by: [P. ] = 10 3 N ñ N A Therefore: R p = 10 3 N ñ k p [M] N A In stage I, N steadily decreases as surfactant is used up ñincreases Overall, N ñ increases Rate of Polymerization (cont.) R p = 10 3 N ñ k p [M] N A Note: k p, [M], and ñ are (more or less) constant for any particular Monomer. So: To increase Rate, need to increase N You can increase N by: Increasing Surfactant Increasing R i by increasing Initator Concentration [I] 5

Rate of Polymerization You can increase N by: Increasing Surfactant Conversion vs. time for emulsion polymerization of styrene with different concentrations of potassium laurate at 60 C. Moles of emulsifier: 1 =.0035; 2 =.007; 3 =.014 Rate of Polymerization You can increase N by: Increasing R i by increasing [I] Conversion vs. time for emulsion polymerization of vinyl chloride at 50 C with different concentrations of initiator: 1 =.0012%; 2 =.0057%; 3 =.023%. Rate of Polymerization: 3 Cases depending on ñ (stages II and III only) Note: ñ is monomer dependent Case 2: ñ = 0.5 : THIS APPLIES TO MOST CASES no desorption of radical (or faster absorption vs. desorption) 1 radical per particle since r i = r t, half particles have radicals, half don t (ñ = 0.5) Case 1: ñ < 0.5 significant desorption; often due to chain transfer to monomer, which makes a small P. that can easily desorb slow absorption relative to desorption Case 3: ñ >0.5 2 or more radicals per particle, therefore you need a large particle low termination facilitates large size faster absorption versus desorption 6

Degree of Polymerization Rate of radical entering particle = particle initiation = r i = R i /N = r t DP = r p /r t = r p /r i And: r p = k p [M] Note: this is the same as the kinetic chain length for bulk: R p /R i So: r p /r i = N k p [M] / R i Comparison with Bulk For : R p = 10 3 N ñ k p [M] N A And: DP = r p /r i = N kp [M] / R i Therefore: You can increase the rate of polymerization by increasing N And: You can increase DP by increasing N, which is increased by increase in surfactant Recall for Bulk Polymerization: R p = k p [M] /(R i /2k t ) 1/2 And: DP = k p [M] / [2 (f k d k t [I]) 1/2 ] Therefore: You cannot increase the rate of polymerization Without: Decreasing DP Chemistry Surfactant Structure Israelachvili Packing Parameter: P = v (a 0 ) (l c ) 7

Chemistry Phase Diagrams Surfactant 10 20 90 80 Organic Solvent 30 70 40 60 50 50 60 40 70 30 80 20 90 10 10 20 30 40 50 60 70 80 90 Monomer 8