What is Analytical: Definition and 278 Discussions

Analytical chemistry studies and uses instruments and methods used to separate, identify, and quantify matter. In practice, separation, identification or quantification may constitute the entire analysis or be combined with another method. Separation isolates analytes. Qualitative analysis identifies analytes, while quantitative analysis determines the numerical amount or concentration.
Analytical chemistry consists of classical, wet chemical methods and modern, instrumental methods. Classical qualitative methods use separations such as precipitation, extraction, and distillation. Identification may be based on differences in color, odor, melting point, boiling point, solubility, radioactivity or reactivity. Classical quantitative analysis uses mass or volume changes to quantify amount. Instrumental methods may be used to separate samples using chromatography, electrophoresis or field flow fractionation. Then qualitative and quantitative analysis can be performed, often with the same instrument and may use light interaction, heat interaction, electric fields or magnetic fields. Often the same instrument can separate, identify and quantify an analyte.
Analytical chemistry is also focused on improvements in experimental design, chemometrics, and the creation of new measurement tools. Analytical chemistry has broad applications to medicine, science and engineering.

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  1. O

    How can I analyze soil samples for vanadium content using two different methods?

    Homework Statement The following data were obtained for the analysis of soil for vanadium content in mg/g using two different methods. Do the two methods yield essentially the same results? Method 1 Method 2 26.30 26.22 26.43 26.32 26.28 26.20 26.19...
  2. O

    Statistical Problem in Analytical Chem

    Homework Statement The following set of analyses represent concentrations of chloride in blood serum (meq/L): 103,106,107,114. One value appears suspect. Determine if it can be rejected at the 95% confidence level. Homework Equations Mean Standard Deviation...
  3. E

    Analytical Mechanics - rolling wheel (accelerating)

    Homework Statement A wheel of radius b rolls along the ground with constant forward acceleration a0. Show that at any given instant, the magnitude of the acceleration of any point on the wheel is (a0^2 + (v^4 / b^2))^(1/2) relative to the center of the wheel. Here v is the...
  4. O

    Analytical Methods of Finding Stress Concentrations

    Hi everyone, I'm an undergraduate student. A professor just signed me up to do a research project (my first) this semester, and I need to be able to apply elasticity to analytically find stress concentration factors in a specific geometry (I'll pm you if it matters which geometry) that the...
  5. L

    Proving Sin and Cos Values of pi/6: Analytical Solutions

    I'm currently reading Apostol's Calculus. I'm now on the part where I need to prove sin and cos values for specific values. Right now I'm working on sin and cos of pi/6. However, I always get at 1/2 and √3/2 for the final value. Here's my solution so far: Homework Statement Use the properties...
  6. M

    Friction and Rolling Analytical Question

    I found this question in HRW (sixth edition), one of the 'checkpoints' (checkpoint 2, to be precise) in chapter 12 on 'rolling, torque, and angular momentum': Homework Statement Disks A and Bare identical and roll across a floor with equal speeds. The disk A roll up an incline, reaching a...
  7. S

    Analytical linear regression: is it possible?

    I've been told that their exists no perfect mathematical method of obtaining a line of best fit from a population of data. This doesn't make a whole lot of sense to me, so I have made an attempt at doing such (see google docs link)...
  8. V

    Find the sum in this given question very interesting and analytical

    Find the sum of : [2^{}0/3] + [2^{}1/3] + [2^{}2/3] + [2^{}3/3] + [2^{}4/3] + ... + [2^{}2008/3] where [] is the greatest integer function symbol... if the question is not clear here is the question.. Find the sum of : [(2^0)/3] + [(2^1)/3] + [(2^2)/3] + [(2^3)/3] + ... [(2^2008)/3]
  9. sankalpmittal

    Analytical research and reasoning .

    I have purposely made this topic of analytical concepts . The questions are quite difficult . I cannot solve them . Lets see whether you people can do it . 1.Paper 1 - IIT Junior Squad . 2. Paper 2 -...
  10. H

    Analytical Solution to a Magnetic Field

    Hello all, I'm currently working on some magnetic shielding, and my supervisor wants me to try and find an analytical solution to the magnetic field inside the shielding. The shielding is basically bucket shaped (a hollow cylinder with the top cut out), and its meant to shield its interior...
  11. G

    Analytical solution of these coupled differential equations

    Homework Statement I don't know how to type math equations of I have included a image file. Take initial conditiona as [0 1] Homework Equations The Attempt at a Solution No idea
  12. A

    Possible analytical solution of transcendental equation by an assumption.

    Is it possible to solve the next transcendental equation analytically (obviously for k): sinh(k)=(b/2)(1+(e^(-2kl))) making the assumption that (bl >>1). I think that is not possible, but in an article that i found, they solve it by making that assumption, and they reach to the solution...
  13. O

    About the Analytical Physics constraint writing.

    About the Analytical Physics constraint writing... I have added a photo about my problem. My problem is why did we write while calculating constraint values as d/2. you will see on the picture what I am saying, I cannot see the reason of writing d/2
  14. A

    Any approximate analytical solution to this ode?

    I'm working on this differential equation this few days... Could you give some guidance on approximate solutions to it? i(t) is the only function while all others are parameters. \frac{di(t)}{dt} = -\lambda(\sigma\phi\sqrt{i(t)(1-i(t))} + N\mu i(t)(1-i(t)) Thank you a lot!
  15. Y

    Analytical Mechanics by Hand,Finch

    Hello, Has anyone used Analytical Mechanics by Hand,Finch for their study in Classical Mechanics? Did the authors publish the solution for the questions given in the book? I can't seem to find them any where. Pardon me if i post this question in the wrong section. thanks, yinx
  16. U

    Analytical solution for heat equation with simple boundary conditions

    I am trying to solve the following heat equation ODE: d^2T/dr^2+1/r*dT/dr=0 (steady state) or dT/dt=d^2T/dr^2+1/r*dT/dr (transient state) The problem is simple: a ring with r1<r<r2, T(r1)=T1, T(r2)=T2. I have searched the analytical solution for this kind of ODEs in polar coordinate...
  17. I

    Contact problem Analytical solution

    Hi, I am trying to do a vibration analysis of a cantilever beam in contact with Earth (in ABAQUS). Now I need to match these results with the analytiocal solution. Could any of you guide me any paper or book where this klind of a problem is solved. So basically I am looking for the...
  18. F

    Multiple Energy Sources - Analytical Solution

    Guys, I was wondering if any of you has encountered a problem with multiple energy sources and the analytical solution for that problem. Is there any way to formulate this problem "without" superposition? Thanks, Frank
  19. L

    Analytical mechanics for dummies ?

    Analytical mechanics "for dummies"? I'm starting my 2nd year course in analytical mechanics tomorrow and am quite worried that I'll get thrown off very early on, as I didn't fully grasp all of the concepts in lagrangian mechanics in my previous mechanics course (only studied up to lagrangian...
  20. O

    Is there an analytical solution to the integral of a PDF?

    Hey all, I have an engineering background with a pretty terrible grounding in statistics and just about all maths that I can't immediately visualize as some kind of dynamic system, so forgive me if this is an obvious question! I am working through a set of derivations for a conditional...
  21. J

    Analytical three-dimensional Fourier transform

    Hello, I am trying to do some self-studying in Byron & Fuller mathematical methods for classical and quantum physics. I have slightly ran aground on this one task of finding 3d Fourier transforms and I can't find the info in the book itself to free me. Google has neither been very fruitfull...
  22. M

    Wanted: (simplified/good-enough) analytical formula for quarter-wave AR coating

    Dear all, For a computer graphics rendering routine, I'm looking for an efficient way of computing the net Fresnel reflectivity of a glass (lens) surface with a quarter-wave coating for a wavelength range of 400--700 nm, and incident angles between 0 and 90 degrees to the normal. Incident...
  23. S

    Analytical mechanics book to go along with meriam-kraige dynamics course

    We will be doing a course based entirely on Engineering Mechanics Vol. 2: Dynamics by Meriam and Kraige in the semester coming up. I want to supplement it with some good theoretical grounding in Lagrangian and Hamiltonian mechanics. Now, I cannot handle an entire separate course for those topics...
  24. H

    Analytical Mechanics in Mechanical Engineering

    How important is Analytical Mechanics in Mechanical Engineering? I'm asking that because my regular course does not offer Analytical Mechanics in its original curriculum, so I would have to get it as an elective from Physics course (curriculums are pretty much pre-defined in here). Thing is...
  25. N

    Accuracy in analytical microbiology

    Hello everyone. I'm studying to become a laboratory analyst and I've recently began my studies in microbiology. My studies began with chemistry and now that the focus in my studies has shifted to microbiology for a bit, I see a sudden drop in required accuracy in results of our analysis. I'm...
  26. P

    Nonlinear ODE: Analytical Solution?

    Nonlinear 1st order ODE \frac{dH}{dt}=B-A*(H-Z)^{3/2} where: B,A and Z are known values H=f(t); H is function of t I've already solve this ODE numerically using a 4th order RK routine. But my question is, it is possible to get an analytical solution for H(t)?
  27. P

    Low GRE Analytical Writing Score - Is it a Problem?

    I just got back my score on the writing section of the general GRE. Apparently I got a 3.5, which puts me in the 25th percentile. Now I don't mean to sound arrogant, but writing has always been a strength of mine. When I write papers, either for physics or humanities classes, they usually come...
  28. T

    Analytical Mechanics: Solving Equations of Motion for Block Sliding Down Ramp

    Homework Statement a block(mass m), is sliding down a long straight ramp with angle theta, this block is undergoing frictional forces(mu) and air resistance proportional to the speed of the block. In its sliding the block reaches a terminal velocity. Determine the equation of motion and...
  29. F

    Projectile Range & Max Range: Analytical Mechanics

    Homework Statement A projectile is launched from a platform that is moving horizontally with velocity v=(v,0,0). The initial velocity of the projectile is u with a launch angle theta relative to the platform. (a) Show that the range of he projectile is R= u^2*sin(2*theta)/g + 2*v*u*sin(theta)...
  30. F

    Does this series have an analytical solution?

    Hi all, Can anyone show how I'd work out the analytical solution to an infinite series of this form: \sum\limits_{n = 0}^\infty {\exp \left( { - An} \right)} Thanks in advance, F
  31. R

    Analytical solution for circular cavity under internal pressure

    A book listed the problem infinite circular cavity under internal pressure and said there is a analytical solution for stress and displacements but it didn't give any reference. I have searched many papers and online materials but still couldn't find anything. The closest thing I found...
  32. stripes

    Analytical definitions vs intuitive (or perhaps first year ) definitions

    Analytical definitions vs intuitive (or perhaps "first year") definitions I just began my real analysis course in college and we were given an assignment; a bunch of mathematical terms for us to define. We are asked to define them using two textbooks, one, our first year calculus textbook, the...
  33. A

    Analytical solution of an integral

    Can anyone help me about analytical solution of this Integral? the integral is written in the word file attached here. Many Thanks in advance, Ashkan
  34. A

    Conformal time analytical expression

    Hi all, Anybody pls help me to convert cosmic time to conformal time (numerically)... is there any analytical expression for conformal time, \tau , except d\tau=dt/a(t) ? can we approximate \tau \approx -1/aH ?? pls help... Anuradha
  35. D

    Analytical Mechanics: An Introduction

    Hello. Someone knows the book: "Analytical Mechanics: An Introduction" by Antonio Fasano, S. Marmi? Is this a good book on mechanics? Thank you.
  36. N

    Business Statistics or Calc 1 w/ analytical

    Hey I am transfering to the University of Florida next semester. Which one of these classes is easier? Business Statistics or Calc 1 w/ analytical geometry? I want to go higher up in Math and I was thinking calc 1 w/ analytical might help me before I take Business Statistics? Right now I am...
  37. S

    Projectile Motion analytical solutions

    Hi, I'm trying to find the analytical solutions to projectile motion, and not just the approximations.I know the Euler approximation for velocity is the inital velocity - acceleration*time, but what is the more accurate analytical solution for velocity.Thank you.
  38. P

    Looking for an analytical solution for a quadratic attractive potential well

    I am trying to derive an equation of motion for a simple electrostatic potential well. Imagine a scenario where an electron (or other charged particle) is released from an arbitrary distance from a fixed (unperturbable) attractive charge (say a proton fixed in space). In 1 dimension, the...
  39. V

    Control Systems: Frequency response Bode plots and analytical expressions

    Homework Statement Find analytical expressions for the magnitude and phase of the frequency response for each G(s) below: (a) G(s)\,=\,\frac{20}{s\,\left(s\,+\,5\right)\left(s\,+\,5\right)}(b) G(s)\,=\,\frac{2\,\left(s\,+\,5\right)}{\left(s\,+\,1\right)\,\left(s\,+\,10\right)}(c)...
  40. T

    How do you show that a complex function is analytical?

    Like if I wanted to show how sin z, cos z, or e^z are analytical, what is the general process I have to do? Can I use the cauchy - riemann relations somehow? (where z = x + iy is complex)
  41. T

    Proving f(x)=0 in [-1,1] | Analytical Function Homework Statement

    Homework Statement I had this question on a test. No one I talked to had a clue how to solve it, and our professor will not be publishing solutions. Any insight as to how to approach this would be great because I am totally stumped. Let f \in C^\infty[-1,1] such that for all j \in N...
  42. G

    Solving PDE with Analytical Solution: Exploring LaTex Code and Techniques

    LaTex Code: \frac{\partial U}{\partial t} + ax\frac{\partial U}{\partial x} + b\frac{\partial^2 U}{\partial x^2} = 0 Can someone please tell me how to solve this PDE? Thanks, Geoff
  43. T

    How to Adjust KNO3 Solution Preparation for Temperature Variations?

    Homework Statement you want to prepare 500 ml of 1 M KNO3 at 20 C, but your lab and water are 24 C. How many grams of solid KNO3 (density= 2.109 g/ml) should be dissolved in a volume of 500 ml at 24 C so that the concentration will be 1 M at 20 C? what apparent mass of KNO3 weighed in air is...
  44. L

    Harmonic Oscillator Analytical Mechanics: Creation/Annihilation Ops

    Homework Statement The Hamiltonian for the one-dimensional harmonic oscillator is given by: H = \frac{p^2}{2m}+ \frac{mw^2q^2}{2} Homework Equations (a) Express H in terms of the following coordinates: a = \sqrt{\frac{mw}{2}} (q+i\frac{p}{mw}) a^* = \sqrt{\frac{mw}{2}} (q-i\frac{p}{mw})...
  45. A

    MATLAB Problems in finding analytical solution in Matlab

    Hello everybody, I am a newbie in using Matlab and i have faced a problem i haven't been able to overcome so far,so i decided to share it with you. I would like to solve the following equation in Matlab: (-2*t...
  46. D

    Vector addition analytical & component method

    hello everyone I am just new here i need help with my homework here's the problem A cross skier skis 7.40 km in the direction 45° east of south then 2.80 km in the direction 30.0° north of east and finally 5.20 km in the direction 22.0° west of north . Find the resultant vector using...
  47. R

    Analytical Solution to Poisson's Equation

    I have the equation del^2 phi =1 for 2-d (x and y) with the boundary condition being 0 along all 4 edges. I've looked in all my math books and can't find how to solve this. If anyone could get me started I would appreciate it.
  48. S

    How Accurate Is the Analytical Method for Calculating Truss Forces?

    Hi. The question is attached as well as my attempt at the answer, which I'm pretty sure is at least partially wrong. I have'ne included my calculations at point B as I have uploaded the limit of 3 files but I got BC=18.30kN (compression) Any help would be great thanks.
  49. T

    Analytical Calculation/Optimization of Ironless Motor Structure

    I'm interested in calculating (followed by optimizing) the uniformity of a magnetic field generated by an array of neodymium magnets. Let us assume we have an array of neodymium bar magnets, -each with a constant depth (10mm) and height (2300mm). -Multiple segments (with alternating poles)...
  50. N

    Medical Depression linked to analytical thinking

    source: http://www.scientificamerican.com/article.cfm?id=depressions-evolutionary&page=2 Interesting. So ,depression is linked to high analytical thinking skills; They are saying the reason why some people who isolate themselves from external stimuli like social interaction and not eating...
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