Solution & X-Ray Non-3D Phase Structure Analysis Soft Matter
SKU: 33508498401

Solution & X-Ray Non-3D Phase Structure Analysis Soft Matter

Sale price$95.68 Regular price$106.31
Save 10%

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Jul 9 - Jul 14

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Solution & X-Ray Non-3D Phase Structure Analysis Soft MatterMost researchers would relate X ray structure analysis to crystal structure analysis. A crystal is a state in which atoms or molecules are regularly arranged in three dimensional space. However, some substances do not have 3D structures, but have 1D, 2D, 1D(+)1D, 2D(+)1D or 1D(+)1D(+)1D structures. Here the symbol (+) stands for direct sum in linear algebra and is different from ordinary sum +. For example, 2D(+)1D means the direct sum of a 2D

Most researchers would relate X-ray structure analysis to crystal structure analysis. A crystal is a state in which atoms or molecules are regularly arranged in three-dimensional space. However, some substances do not have 3D structures, but have 1D, 2D, 1D(+)1D, 2D(+)1D or 1D(+)1D(+)1D structures. Here the symbol (+) stands for direct sum in linear algebra and is different from ordinary sum +. For example, 2D(+)1D means the direct sum of a 2D subspace and an orthogonal 1D subspace, not 3D.

 

In a previous book, Physics and Chemistry of Molecular Assemblies, published in April 2020, the author showed for the first time that molecular assemblies can be represented in a unified manner from such subspaces of linear algebra, and wrote the theory and method of X-ray structure analysis of the liquid crystal phase structures with the dimensional structure of 1D, 2D, 1D(+)1D, 2D(+)1D, and 1D(+)1D(+)1D. Furthermore, the X-ray liquid crystal structure analysis methods of 11 representative examples were concretely described. In addition, 110 X-ray data were posted as the end-of-chapter problems in Chapter 3.

 

Using the methods developed by the author, these 110 problems can be solved in principle with a calculator, graph paper, a ruler, and a compass, although it takes time. However, when you use only a calculator, a graph paper, a ruler or a compass, it would probably take more than one year to analyze all the observed X-ray data in Chapter 3. Therefore, the author's research group has developed a computer program named "Bunseki-kun." By using this program, we can easily analyze the liquid crystal phase structures from the observed d spacings. Thus, when you will use this program, you will be able to analyze the liquid crystal phase structures within 1/100th to 1/1000th of the time. Those who purchase this book will be able to freely download this program from the following URL set by the publisher.

Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 33508498401

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.7 ★★★★★
Based on 608 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
T
Texas KnowHow
Draper, US
★★★★★ 5
Perfect fit on 2008 Honda CRV LX
This KAX air filter was an excellent fit in a 2008 Honda CRV LX. The construction components of the filter (gasket, frame, and filter) are of good quality. I feel good putting this aftermarket filter in the car for the next 12k-15k miles. I took a picture of this filter next to the filter I replaced for frame/size comparison; it is an exact match. Additionally, the filter was wrapped in sealed plastic, boxed, and came with directions.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 27, 2024
A
Verified Purchase
Andrew Ferguson
Port Orchard, US
★★★★★ 3
It's ok
Descent
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 5, 2026
D
Verified Purchase
David Wayne lynch
Grantham, US
★★★★★ 5
Game changer for my truck
Size: 1.9" x 9.9" x 11.4"
I installed this K&N Lifetime Cabin Air Filter in my 2016 F-150 and noticed the difference right away. The airflow is stronger, and the cabin smells fresher even when driving through dusty or humid areas. What I really like is that it’s washable and reusable—so I won’t have to keep buying filters every year. Fitment was perfect and install took under 10 minutes. Just pop out the old one, slide this one in, and you’re good to go. It feels solid and well made, not like those cheap paper ones. It’s definitely worth the investment, especially if you drive a lot or have allergies. Highly recommend for anyone with a Ford or Lincoln vehicle—it pays for itself quickly!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on July 3, 2025
B
Verified Purchase
Bill
Lake Worth, US
★★★★★ 5
Fit 2024 F250 Platinum
Size: 1.9" x 9.9" x 11.4"
Good quality, perfect fit.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 16, 2026
J
Verified Purchase
JAMES ERIK FOREHAND
Lowell, US
★★★★★ 5
Great
Size: 1.9" x 9.9" x 11.4"
Great value for the money and easy to install.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 10, 2026

recommand products