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Improved RBCS theory 
Improved theoretical models now allow some prediction of cavity 
behavior
But! Can we use this theory for films? 
f 
2 
2.5 K 
S. Aull, this workshop. Nb film
Questions 
• Can we even control the material 
parameters/treatments/operating conditions 
 Production techniques: e.g., spinning, deep drawing, heat treatment, 
welding … 
 Preparation: EP, BCP, MBP, Plasma arc 
 Nitrogen doping 
 Operating conditions: e.g., cooldown conditions 
• I.e., if I tell you how the material was handled … can you tell me 
what it‘s surface resistance will be? 
3
e.g., Hydrides 
Treatment history of the material strongly impacts material 
properties … even in „simple“ bulk Nb systems 
• Mechanical deformation 
• EDM slicing of large-grain material 
• Barrell polishing 
• First cooldown v. subsequent cooldowns 
• BCP v. EP (what about same recipe at different labs?) 
• Single grain/large grain v. multigrain 
• What does the surface morphology of the hydrides do? 
4
Impact of cooldown conditions @ HZB 
5 
• Res. resistance as fn of temperature gradient during cooldown 
• Factor of 8 difference depending on cooldown conditions! 
Julia Vogt, SRF 2013 TESLA Cavity results 
ΔRres ≈ 8 nΩ
Impact on cooldown conditions 
QWRs @ CERN (100 MHz) 
Courtesy of Pei Zhang 6
7 
Influence	of	the	Cooling	Condi ons	 
j 
• Influence	on	the	surface	resistance:	Slow	uniform	cooling	 
increases	RS	by	more	than	a	factor	2.			 
400	MHz,	2K,	5	mT	 
Nb film 
sarah.aull@cern.ch	 11
Comparison Theory with Measurements 
Is a quantitative (theoretical analysis) possible with thin films? 
I believe we are still a long way off … 
8 
Xiao et al 
Theory 
„Bulk-like“ film 
(Aull et. al) 
Vogt et al 
Bulk Nb (TESLA) 
Frequency 1500 MHz 1200 MHz 1300 MHz 
λ(0K) 32 nm 38 nm ? 
Δ 15.2 K 15.2 K 15.7 K 
ℓ 50 nm* 144 nm ? 
λL 32 nm 32 nm 32 nm? 
ξ0 40 nm 39 nm 39 nm? 
T 2 K 2K 2 K 
Rs ≈16 nΩ ≈150 nΩ ≈10 nΩ min 
Rs 
(scaled to 1.5 GHz) 
≈16 nΩ 234 nΩ ≈13 nΩ 
* Little variation of RBCS with mean free path in the range of interest
What should we be doing? 
To characterize films/bulk Nb we need 
• Ability to characterize RF properties in the full phase space, i.e., 
 frequency, 
 wide field range 
 Wide temperature ranges 
 At high resolution (nOhm and better!) 
 rapid turn around! 
• Ability to do this with samples 
• Ability to do this in a frequency range of interest for cavities (i.e. 
not 10 GHz!) 
• Need to check the SEY characteristics 
• Understand material properties, morphology … & correlate this 
with the RF measurements 
• Then compare best results with the theoretical predictions! 
• Learn to walk before we run! E.g. Nb3Sn … look into samples 
before cavities. 
9
RF characterization 
QPR is the ideal tool! 
• Allows analysis of the materials over the full phase space 
• No “Enzo” effect to LHe, but can measure Kap. resistance film-substrate 
• Orginial design at CERN 
 T = 1.5 K - > 9.2 K 
 0 – 60 mK 
 400 MHz – 1.2 GHz, nm Resolution 
Resonator body (Nb) 
• Modified design at HZB: 
 similar but with higher fields 
Hollow quadrupole 
 125 mT demonstrated so far 
rods (Nb) 
 433 MHz - 1.3 GHz 
 Double resolution 
Pole shoes 
 Demountable sample (hopefully!) 
• SEY measurements at CERN 
Sample 
and U. Siegen 
 If high, QPR will let you know! 
• Theory at JLAB, Cornell, ODU 
• Material analysis @ JLAB and ? Calorimetry chamber 10 
(large domain Nb) 
Frame 
(SS, Ti) 
Coaxial gap
Finally … 
• Once BCS behaves close to the theory, do we (as accelerator 
physicists) even care? 
... Or will one (for CW operation) then always choose a bath 
temperature where BCS no longer dominates?  residual 
resistance will be what matters 
11

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Jens knobloch open discussion

  • 1. Improved RBCS theory Improved theoretical models now allow some prediction of cavity behavior
  • 2. But! Can we use this theory for films? f 2 2.5 K S. Aull, this workshop. Nb film
  • 3. Questions • Can we even control the material parameters/treatments/operating conditions  Production techniques: e.g., spinning, deep drawing, heat treatment, welding …  Preparation: EP, BCP, MBP, Plasma arc  Nitrogen doping  Operating conditions: e.g., cooldown conditions • I.e., if I tell you how the material was handled … can you tell me what it‘s surface resistance will be? 3
  • 4. e.g., Hydrides Treatment history of the material strongly impacts material properties … even in „simple“ bulk Nb systems • Mechanical deformation • EDM slicing of large-grain material • Barrell polishing • First cooldown v. subsequent cooldowns • BCP v. EP (what about same recipe at different labs?) • Single grain/large grain v. multigrain • What does the surface morphology of the hydrides do? 4
  • 5. Impact of cooldown conditions @ HZB 5 • Res. resistance as fn of temperature gradient during cooldown • Factor of 8 difference depending on cooldown conditions! Julia Vogt, SRF 2013 TESLA Cavity results ΔRres ≈ 8 nΩ
  • 6. Impact on cooldown conditions QWRs @ CERN (100 MHz) Courtesy of Pei Zhang 6
  • 7. 7 Influence of the Cooling Condi ons j • Influence on the surface resistance: Slow uniform cooling increases RS by more than a factor 2. 400 MHz, 2K, 5 mT Nb film sarah.aull@cern.ch 11
  • 8. Comparison Theory with Measurements Is a quantitative (theoretical analysis) possible with thin films? I believe we are still a long way off … 8 Xiao et al Theory „Bulk-like“ film (Aull et. al) Vogt et al Bulk Nb (TESLA) Frequency 1500 MHz 1200 MHz 1300 MHz λ(0K) 32 nm 38 nm ? Δ 15.2 K 15.2 K 15.7 K ℓ 50 nm* 144 nm ? λL 32 nm 32 nm 32 nm? ξ0 40 nm 39 nm 39 nm? T 2 K 2K 2 K Rs ≈16 nΩ ≈150 nΩ ≈10 nΩ min Rs (scaled to 1.5 GHz) ≈16 nΩ 234 nΩ ≈13 nΩ * Little variation of RBCS with mean free path in the range of interest
  • 9. What should we be doing? To characterize films/bulk Nb we need • Ability to characterize RF properties in the full phase space, i.e.,  frequency,  wide field range  Wide temperature ranges  At high resolution (nOhm and better!)  rapid turn around! • Ability to do this with samples • Ability to do this in a frequency range of interest for cavities (i.e. not 10 GHz!) • Need to check the SEY characteristics • Understand material properties, morphology … & correlate this with the RF measurements • Then compare best results with the theoretical predictions! • Learn to walk before we run! E.g. Nb3Sn … look into samples before cavities. 9
  • 10. RF characterization QPR is the ideal tool! • Allows analysis of the materials over the full phase space • No “Enzo” effect to LHe, but can measure Kap. resistance film-substrate • Orginial design at CERN  T = 1.5 K - > 9.2 K  0 – 60 mK  400 MHz – 1.2 GHz, nm Resolution Resonator body (Nb) • Modified design at HZB:  similar but with higher fields Hollow quadrupole  125 mT demonstrated so far rods (Nb)  433 MHz - 1.3 GHz  Double resolution Pole shoes  Demountable sample (hopefully!) • SEY measurements at CERN Sample and U. Siegen  If high, QPR will let you know! • Theory at JLAB, Cornell, ODU • Material analysis @ JLAB and ? Calorimetry chamber 10 (large domain Nb) Frame (SS, Ti) Coaxial gap
  • 11. Finally … • Once BCS behaves close to the theory, do we (as accelerator physicists) even care? ... Or will one (for CW operation) then always choose a bath temperature where BCS no longer dominates?  residual resistance will be what matters 11