The Significance Of Larmor Frequency In Mri English Language Essay

The Significance Of Larmor Frequency In Mri English Language Essay When a magnetic field is applied to an atom, the nuclear spin will be orientated with the field. The spin allows absorption of a photon of frequency ÃŽÂ ½L, which is dependent on the magnetic field applied. ÃŽÂ ½L = ÃŽÂ ³ * B In the equation above, B is the magnetic field, ÃŽÂ ³ is the gyromagnetic ratio and ÃŽÂ ½L is the larmor frequency. When atoms are placed in a non-uniform magnetic field, the nuclei of the atom have varying larmor frequencies due to the equation. (b) Why does the RF field have to be applied exactly at the Larmor frequency to tip the net nuclear magnetisation? Some nuclei are said to be parallel to the magnetic field with some nuclei orientated anitparallel which are at a higher energy state. The energy difference between the two states is give by ΆE. When this energy difference is applied there is a transition from the lower energy level to the higher energy level. There is now more nuclei in an anitparallel orientation. When using the RF pulse it has to be resonance with the Larmor frequency. As the RF energy is applied the nuclei will orient themselves in the anitparallel position, this results in more nuclei being in a higher energy state. (c)Classically the spin population states are divided into parallel and anitparallel: what is the approximate population difference between these two states at 1.5T? In order to calculate the population difference use the larmor equation to find the frequency at 1.5 T f = ÃŽÂ ³B Where ÃŽÂ ³ = 42.6 MHz/T B= 1.5 T f = (42.6 x 10 ^6) Ά¡ (1.5) f= 63.9 x 10^6 secà ¢Ã‚ Ã‚ »Ã‚ ¹ Now use the following equation ΆE = hf to find the difference in population where h is plancks constant which is 4.14 x 10^- 15 eVΆ¡sec f is 63.9 x 10^6 secà ¢Ã‚ Ã‚ »Ã‚ ¹ ΆE = hf ΆE =4.14 x 10^-15 )(63.9 x 10^-6 secà ¢Ã‚ Ã‚ »Ã‚ ¹) ΆE = 2.65 x 10^-7 eV (d) Describe what is meant by the Free Induction Decay (FID) of the MR signal In the rotating frame, the net magnetisation vector decays as spins lose phase coherence and begin to cancel each other out. They do this because they experience slightly different magnetic field strengths due to interaction between spins (via their own oscillating magnetic fields). Slightly different magnetic fields means slightly different precession (Larmor) frequencies. This causes some spins to lag behind the average, and some get ahead of the average. Eventually the spins point in arbitrary directions and the Mxy component of the net magnetisation vector is lost. This decaying, oscillating signal is the free induction decay.  [1]   (e) Describe what is meant by spin-lattice relaxation. How is it described mathematically? One relaxation process involves a return of the protons to their original alignment with the static magnetic field. This process, called longitudinal or spin-lattice relaxation, is characterized by a time constant T1. The term spin-lattice refers to the interaction of the protons (spins) with their surroundings (the lattice or network of other spins). This interaction causes a net release of energy to the surroundings as the protons return to the lower energy state of alignment.  [2]   The spin- lattice relaxation is given by M_z=M_0 [1-exp (-t/T_1)] where M_z and M_0 components of the magnetisation vector and t is the time. (f) Describe what is meant by spin-spin relaxation. How is it described mathematically? Before a radio wave is applied, the precessional orientation of the protons is Random. The application of a radio wave brings the protons into synchronous precession, or in phase. When the radio wave is switched off, the protons begin to interact with their neighbours and give up energy in random collisions. In so doing, they revert to a state of random phase. As the protons revert to random orientation, the bulk signal decreases because the magnetic moments tend to cancel each other. This process is called transverse or spin-spin relaxation and is characterized by a time constant T2.  [3]   The spin-spin relaxation is given by M_x, y=M_0 [exp (-t/T2)]. (g) Using the spin echo sequence, describe how the timing parameters can be adjusted to reflect T1, T2 and proton density in the image. Question 2 Figure 2.1 : Image given in assignment (i)What are the two user variable parameters marked as a and b? Explain briefly in general terms how a and b might be chosen to achieve different image contrast weightings. The user variable a is the echo time and b is the repetition time. When there is a short repetition time and short echo time the result will be a T1-weighted image. A long repetition time and short echo time will give a proton density image, and long repetition time and long echo time will give a T2-weighted image. (ii) Identify the gradients markedd. Explain what is illustrated by the dotted horizontal lines in this part of the diagram. What user variable parameter directly influences what is happening ind? Briefly relate this to total scan time. The gradients markedd represents the phase encoding gradient. The user variable parameter that directly influences the phase encoding gradient is the frequency encoding gradient. The total scan time for a standard spin echo or gradient echo sequence is number of repetitions x the scan time per repetition (means the product of repetition time (TR), number of phase encoding steps, and NSA).  [4]   (iii)Identify the gradient e. If all other variables are considered fixed what user variable parameter would change the strength of this applied gradient? The gradient is e is the slice selection gradient. The user variable parameter that would change the strength of this applied gradient is the slice thickness parameter. The slice thickness is governed by the following equation: thk = BWtrans / (à Ã¢â‚¬ °0 ·GS) Where thk is the slice thickness, BWtrans is the transmitted RF bandwidth (the range of frequencies it covers), 0 is the gyromagnetic ratio and GS is the magnitude of the slice selection magnetic field gradient. So, slice thickness is inversely proportional to GS; increasing GS will yield a thinner imaging slice.  [5]   (iv) What is the waveform show in g? Give a brief description of how the signal from g is captured by the MR computer system and subsequently processed to form an image. The waveform g represents the echo signal received. Question 3 (A) Describe briefly the physical basis of the following MRI artefacts: Truncation or Gibbs Gibbs or truncation artefacts arise from going from a bright are to a dark area resulting in bright or dark lines which are present at parallel and adjacent borders where there is a sudden change in intensity. This type of artefact is associated with the number of steps used in the fourier transform to reconstruct the image . To minimize the effect of Gibbs or truncation artefacts more encoding steps are performed in order to lessen the intensity and narrow the artefacts. Figure 3.1 : Diagram shows the Gibbs effect resulting from a Fourier transformation of a sharp change in image intensity Zipper There are various causes for zipper artefacts in images. Most of them are related to hardware or software problems beyond the radiologist immediate control. The zipper artefacts that can be controlled easily are those due to RF entering the scanning room when the door is open during acquisition of images. RF from some radio transmitters will cause zipper artefacts that are oriented perpendicular to the frequency axis of your image. Frequently there is more than one artefact line on an image from this cause. Other equipment and software problems can cause zippers in either axis.  [6]   Figure 3.2 : When this image was taken the scanner room door was left open during the acquisition causing the zipper artefacts shown. Chemical shift Chemical shift arises from a variation in the resonance frequency due to the nuclear spin of protons in different environments like fat or water. Due to the magnetic shielding of different protons , will result in different resonance frequency and hence lead to miss registration of protons in the same slice during the fourier transform. The chemical shift artefact will appear as bright or dark band at the edge of the anatomy. High field strength increases the miss registration of the protons. Figure 3.3 : In this image the chemical shift artefact is seen as a small bright line in front of the femoral bone. (b) In a magnetic field, fat precesses at a lower frequency that water giving rise to a Chemical shift. At 1.5T, the frequency difference is 210Hz. For an image matrix of 256 x 256 and a receive coil bandwidth of 16 kHz, calculate the size of the shift between water and fat in pixels. To find the chemical shift use the following equations d = (n nref) x 106 / nref But know that nref = gBo The equation now becomes d = (n nref) x 106 / gBo where nref is resonance frequency g is gymagnetic ratio where g is 42.58 MHz/T Bo is magnetic field strength where Bo is 1.5 T n is resonance frequency of second component d is chemical shift difference Can now put these values into the above equations. Given that the frequency difference is 220 Hz d = (n nref) x 106 / gBo d= (220) x 106 / (42.58 x 106) (1.5) d= 3.44 ppm Question 4 Using diagrams where appropriate, briefly describe k-space under the following headings What does k-space represent K space corresponds to a matrix of the MR data and represents the image before processing like fourier transforms are performed. Within k-space each line represents a measurement, with a separate line for varying phase gradients. A line of height 0 represents a line with no phase gradient. Figure 4.1: In this diagram, Kx represents frequency, Ky represents phase directions. Each measurement is positioned at a different Ky coordinate (height) How is k-space normally filled The polarity and amplitude of the frequency and phase encoding gradients directly affect how k-space is filled. The amplitude of the frequency encoding gradients establish how far the k-space goes to the left or right and therefore gives the field of view of the image in the frequency direction. Positive values go from left to right while negative values go from right to left. The amplitude of phase encoding gradient estimates how far up and down k-space is filled up and down in the phase direction and hence determines the field of view in this direction. Positive values fill the top half while the negative values fill the bottom half. What determines k-space co-ordinates The k-space location (kx and ky coordinates) of data is governed by the accumulated effect of gradient events and excitation pulses.  [7]   How does an absence of data in k-space affect the image If there is some date missing in k-space this will result in a loss of resolution of the image. Question 5 (a) Describe four important safety hazards in MRI. Static magnetic fields Depolarization can be caused by voltages induced in flowing blood and the movement of muscles in the heart which can be detected by an electrocardiogram. In order to minimize this effect the magnetic field strength kept withing the following limits. 2.5 T for body of patients; 0.2 T for arms and hands of staff and 0.02 T for whole body of staff. Switching of the gradient magnetic fields Involuntary muscular contraction, breathing difficulties and ventricular fibrillation arise from eddy currents induced in the body. MRI should not be performed on patients with implants, as it can cause harm to the patient. In the case of strong fields, taste sensations can be experienced by the patient while flashes of light can be present on the patients retina. Magnetic field build up is usually 1-5 Ts to avoid symptoms. Radiofrequency fields In strong static fields, at high frequencies, heating can occur. The temperature should not rise above 1 degree Celsius on the patients skin. In order to minimize the heating affects the specific absorption ratio should not surpass 0.4 W/Kg and pulsed RF field should not go beyond 70 W Mechanical attraction of ferromagnetic objects This changes with the square of the magnetic field and inverse of the distance. Metal objects are made into projectiles if they come into the fringe field. For this reason non-magnetic material should be used. (b) What is meant by SAR? Define the units used to measure this parameter. The Specific Absorption Rate is defined as the RF power absorbed per unit of mass of an object, and is measured in watts per kilogram (W/kg). The SAR describes the potential for heating of the patients tissue due to the application of the RF energy necessary to produce the MR signal. Inhomogeneity of the RF field leads to a local exposure where most of the absorbed energy is applied to one body region rather than the entire person, leading to the concept of a local SAR.  [8]   What is the whole body limit? 4 W/kg averaged over the whole body for any 15-minute period.  [9]   Which sequences are a particular concern and may give rise to radio-frequency effects? Radio frequency effects occur when a patient is exposed to static magnetic fields in MRI. The Radio frequency pulses mainly produce heat, which is absorbed by the body tissue. If the power of the RF radiation is very high, the patient may be heated too much. To avoid this heating, the limit of RF exposure in MRI is up to the maximum specific absorption rate (SAR) of 4 W/kg whole body weight (can be different from country to country). For MRI safety reasons, the MRI machine starts no sequence, if the SAR limit is exceeded.  [10]  

Defense About Payroll System Essay

GLOBAL RECIPROCAL COLLEGES GRC Bldg Rizal Avenue cor 9th Ave. Caloocan City Payroll System In Partial Fulfillment of the requirements For the Subject ITCS 211 Submitted by: Lu, Lyn, L. Sanchez, Frecis Balingit, Jembert Ballester, Gerlie Amandog, Jinine II- Galatians Submitted to: Mrs. Tupaz I.T. Professor Introduction As computer technology changes at such fast phase, many businesses sectors try to cope up by upgrading computer system constantly in order to stay competitive. The multi function ability of technology for its advance system is also an important factor for a company to use software. It makes efficient use of the advance technology and has ambition to discover more. Computers have the great impact on the profession of accounting. With the  rapid growth of technology today, there is no doubt that computer will become a common asset in all profession. This Computerized Payroll System program allows the monthly payroll schedule to be calculated accurately. Just by having all employees’ information such as name, rate per hour, working hours, etc to enter to its database. Therefore, payroll can be done with the guide of the program. The system is good in for its specialty in the fields of accurate computations. It is easy to use, effective and efficient in organizing and calculating the payroll. In addition, this study aims to develop a reliable computerized payroll system for Ministop Convenient Store for a better manageable of a business. The Proposed Computerized Payroll System will give a big relief of the employee and employers as well. Goal To make a efficient, effective and easy to use computerized payroll system that will solve the currently problems of Ministop Convenient Store in having Manual process in their payroll system Objectives To create a computerized payroll system that will work conveniently for the employees of Ministop in computing their salary & accurate total of deductions for their benefits and taxes. ↠ To avoid mathematical errors in computing the salary that may cause financial trouble. ↠ To prevent lost of data and damaging of files. ↠ To lessen the consume time in checking and tallying their records. Statement of the Problem Ministop convenience store has a problem with their payroll system. They always encounter problems in manual payroll process. So we decided to create a computerized payroll system that will seek for answer in the following problems. ↠ Prone to mathematical errors that could consume much time than it should and could cause financial or legal trouble. ↠ Time consuming in double checking the consistency of all the reports. ↠ Storage of files is susceptible to be damaged as well as lost of data. Scope The payroll system has a security ADMIN account in order to use it. The payroll system will compute the total salary of the employees of Ministop according to their recorded rate per hour and hours worked and also the system will automatically deduct their taxes and total contributions for their benefits such as SSS and Phil-Health. The computed overall Salary will be transferred in ATM account. Delimitations †¢ This system will only compute the salary of Crews, Guards and Manager. †¢ This system is only for the employees of Ministop Convenient Store. Abstract The program has its own database that will store employee’s information and salary details. The Admin should log-in first before the  program will function. After the user successfully log-in, the main page will appear. The main page contains â€Å"Add employee†, â€Å"Compute Salary† and â€Å"Log-Out† button. â€Å"Add Employee† Button is for adding employee. â€Å"Compute Salary† Button is for computing and showing the Salary details. â€Å"Log-Out† button is for the Signing Out of the Admin. In adding employee, the user has to input needed information about the employee. In Computing the Salary, the employee should enter their registered Employee No. and Password. If the employee successfully filled up the required Employee No. and Password, the Form â€Å"Salary Details† that contains the Employee information and Computed Total Deductions and Salary will appear. In Logging-Out, the system will return to â€Å"Log-in† Form.

Blood glucose regulation Essay

DISCUSSION 1. Explain how insulin changed plasma glucose concentration over the course of the experiment. The insulin changed the plasma glucose levels by raising dramatically from fasting to the one hour mark, but by hour 3 it droped again to almost the same levels as fasting. The glucagon remained almost the same on throughout the levels except that it lowered a bit 1 hour after the  meal. 2. Explain how glucagon changed plasma glucose concentration over the course of the experiment. Glucagon acts on liver cells to promote breakdown of glycogen into glucose and formation of glucose from lactic acid and certain amino acids. 3. Explain what caused the change in plasma ketone concentration over the course of the experiment. Ketones changed from high during fasting to lower after eating and even after hour three because it first they were needed to generate ATP but droped because they were not needed as much for fuel. 4. Explain how negative feedback caused the changes in plasma insulin concentration observed during the experiment. the level of blood glucose controls secretion of both glucagon and insulin via negative feedback. 5. Explain how negative feedback caused the changes in plasma glucagon concentration observed during the experiment. 6. The insulin/glucagon ratio changed over the course of the experiment indicating changes in glucose storage and changes in ability to increase blood glucose concentration via glycogenolysis and gluconeogenesis. State when glucose storage capability was highest and why. 7. State when glycogenolysis and gluconeogenesis were highest and why. 1 hour post meal because that’s when there was the highest amount of sugar in the blood. 8. Explain how a high blood ketone level helps the body conserve blood  glucose. When the concentration of ketone bodies in the blood rises above normal the ketone bodies, most of which are acids, must buffered. 9. Restate your predictions that were correct and give the data from your experiment that supports them. Restate your predictions that were not correct and correct them, giving the data from your experiment that supports the correction. APPLICATION 1. During exercise, epinephrine and norepinephrine are released from the adrenal medulla. Epinephrine and norepinephrine have the same effect on plasma glucose levels as glucagon. Explain how epinephrine and norepinephrine affect plasma glucose and why this is important during exercise. Epinephrine and norepinephrine will be released by the adrenal medullae in response to stress. During exercise the brain will release epinephrine and norepinephrine because it has been told that the body needs to adjust to the new demand that must be met. Which means that the heart rate needs to increase in order to support itself and work efficiently. 3. The symptoms of diabetes mellitus include high plasma glucose levels and ketoacidosis (blood pH decreases due to increasing levels of ketones). Explain how diabetes causes these symptoms. Diabetic ketoacidosis is a dangerous complication of diabetes mellitus because the chemical balance of the body becomes too acidic.

A Biography of Letizia Bonaparte - Napoleons Mother

Letizia Bonaparte experienced poverty and opulent wealth thanks to the actions of her children, the most famous of whom was Napoleon Bonaparte, the twice Emperor of France. But Letizia was no mere lucky mother profiting from a childs success, she was a formidable figure who guided her family through difficult, albeit often self made, situations, and saw a son rise and fall while keeping a relatively steady head. Napoleon might have been emperor of France and Europes most feared military leader, but Letiziawas still happy to refuse to attend his coronation when she was unhappy with him! Marie-Letizia Bonaparte (nà ©e Ramolino), Madame Mà ©re de Sa Majestà © lEmpereur (1804 - 1815) Born: 24th August 1750 in Ajaccio, Corsica.Married: 2nd June 1764 in Ajaccio, CorsicaDied: 2nd February 1836 in Rome, Italy. Childhood Born in the middle of the eighteenth century, August 1750, Marie-Letizia was a member of the Ramolinos, a low ranking noble family of Italian descent whose elders had lived around Corsica - and in Letizias case, Ajaccio - for several centuries. Letizias father died when she was five and her mother Angela remarried a few years later to Franà §ois Fesch, a captain from the Ajaccio garrison which Letizias father had once commanded. Throughout this period Letizia received no education beyond the domestic. Marriage The next phase of Letizias life began on June 2nd 1764 when she married Carlo Buonaparte, the son of a local family with similar social rank and Italian descent; Carlo was eighteen, Letizia fourteen. Although some myths claim otherwise, the couple certainly didnt elope on a lovesick whim and, although some of the Ramolinos objected, neither family was overtly against the marriage; indeed, most historians agree that the match was a sound, largely economic, agreement which left the couple financially secure, although far from rich. Letizia soon bore two children, one before the end of 1765 and another under ten months later, but neither lived for long. Her next child was born on July 7th 1768, and this son survived: he was named Joseph. Overall, Letizia gave birth to thirteen children, but only eight of those made it past infancy. On The Front Line One source of family income was Carlos work for Pasquale Paoli, a Corsican patriot and revolutionary leader. When French armies landed in Corsica during 1768 Paolis forces fought an, initially successful, war against them and, in early 1769, Letizia accompanied Carlo to the front line - at her own behest - despite her fourth pregnancy. However, the Corsican forces were crushed at the battle of Ponte Novo and Letizia was forced to flee back to Ajaccio through mountains. The incident is worth noting, for shortly after her return Letizia gave birth to her second surviving son, Napoleon; his embryonic presence at the battle remains part of his legend. Household Letizia remained in Ajaccio for the next decade, bearing six more children who survived into adulthood - Lucien in 1775, Elisa in 1777, Louis in 1778, Pauline in 1780, Caroline in 1782 and finally Jerome in 1784. Much of Letizias time was spent caring for those children who remained at home - Joseph and Napoleon departed for schooling in France during 1779 - and organising the Casa Buonaparte, her home. By all accounts Letizia was a stern mother prepared to whip her offspring, but she was also caring and ran her household to the benefit of all. Affair with Comte de Marbeuf During the late 1770s Letizia began an affair with the Comte de Marbeuf, Corsicas French military governor and a friend of Carlos. Although there is no direct evidence, and despite the attempts of some historians to argue otherwise, the circumstances make it quite clear that Letizia and Marbeuf were lovers at some point during the period 1776 to 1784, when the latter married an eighteen year girl and began to distance himself from the, now 34 year old, Letizia. Marbeuf may have fathered one of the Buonaparte children, but commentators who claim he was Napoleons father are without any foundation. Fluctuating Wealth / Flight to France Carlo died on February 24th 1785. For the next few years Letizia managed to keep her family together, despite numerous sons and daughters scattered across France in education and training, by running a thrifty household and persuading notoriously ungenerous relatives to part with money. This was the start of a series of financial troughs and peaks for Letizia: in 1791 she inherited large sums from Archdeacon Lucien, a man who had lived on the floor above her in the Casa Buonaparte. This windfall enabled her to relax her grip on household tasks and enjoy herself, but it also enabled her son Napoleon to enjoy quick promotion and enter into the turmoil of Corsican politics. After turning against Paoli Napoleon suffered defeat, forcing his family to flee for the French mainland in 1793. By the end of that year Letizia was lodged in two small rooms at Marseilles, relying on a soup kitchen for food. This sudden income and loss would, you can speculate, colour her views when the family rose to great heights under the Napoleonic empire and fell from them with equally spectacular speed. Rise of Napoleon Having plunged his family into poverty, Napoleon soon saved them from it: heroic success in Paris brought him promotion to the Army of the Interior and considerable wealth, 60,000 francs of which went to Letizia, enabling her to move into one of Marseilles best homes. From then until 1814 Letizia received ever greater riches from her son, especially after his triumphant Italian campaign of 1796-7. This lined the elder Bonaparte brothers pockets with considerable riches and caused the Paolistas to be expelled from Corsica; Letizia was thus able to return to the Casa Buonaparte, which she renovated with a massive compensatory grant from the French government. The Wars of the 1st / 2nd / 3rd / 4th / 5th / 1812 / 6th Coalition Mother of the Emperor of France Now a woman of great wealth and considerable esteem, Letizia still attempted to control her children, remaining able to praise and chastise them even as they became kings, princes and emperors. Indeed, Letizia was keen that each should benefit equally from the Bonapartes success, and each time he bestowed an award on one sibling Letizia urged him to restore the equilibrium with awards to the others. In an imperial story full of wealth, battles and conquest, there is something warming about the presence of the imperial mother still making sure the siblings divided things equally, even if these were regions and people had died to gain them. Letizia did more than simply organise her family, for she acted as unofficial governor of Corsica - commentators have suggested that nothing major occurred without her approval - and oversaw the Imperial Charities. Snubbing Napoleon However, Napoleons fame and wealth was no guarantee of his mothers favour. Immediately after his imperial accession Napoleon granted titles to his family, including that of Prince of the Empire for Joseph and Louis. However, Letizia was so chagrined at hers - Madame Mà ¨re de Sa Majestà © lEmpereur (or Madame Mà ¨re, Madam Mother) - that she boycotted the coronation. The title may well have been a deliberate slight from son to mother over family arguments and the Emperor tried to make amends a year later, in 1805, by giving Letizia a country home with over 200 courtiers, high-ranking servants and vast sums of money. Madame Mre This episode reveals another side of Letizia: she was certainly careful with her own money, but willing to spend that of her children and patrons. Unimpressed with the first property - a wing of the Grand Trianon - she had Napoleon move her into a large seventeenth century chateau, despite complaining at the opulence of it all. Letizia was exhibiting more than an innate miserlyness, or using the lessons learnt from coping with her free-spending husband, for she was preparing for the potential collapse of Napoleons empire: My son has a fine position, said Letizia, but it may not continue for ever. Who knows whether all these kings wont some day come to me begging for bread? (Napoleons Family, Seward, pg 103.) Refuge in Rome Circumstances did indeed change. In 1814 Napoleons enemies seized Paris, forcing him into abdication and exile on Elba; as the Empire fell, so his siblings fell with him, losing their thrones, titles and parts of their wealth. Nevertheless, the conditions of Napoleons abdication guaranteed Madame Mà ¨re 300,000 francs a year; throughout the crises Letizia acted with stoicism and gentle bravery, never rushing from her enemies and marshalling her errant children as best she could. She initially traveled to Italy with her half brother Fesch, the latter gaining an audience with Pope Pius VII during which the pair were granted refuge in Rome. Letizia also exhibited her head for sensible finances by liquidating her French property before it was taken from her. Still showing parental concern, Letizia traveled to stay with Napoleon before urging him to embark on the adventure which became the Hundred Days, a period when Napoleon regained the Imperial Crown, hurriedly re-organised France and fought the most famous battle in European History, Waterloo. Of course, he was defeated and exiled to distant St. Helena. Having traveled back to France with her son Letizia was soon thrown out; she accepted the protection of the Pope and Rome remained her home. Post Imperial Life Her son may have fallen from power, but Letizia and Fesch had invested considerable sums during the days of Empire, leaving them wealthy and ensconced in luxury: she brought the Palazza Rinuccini in 1818 and installed within it a large number of staff. Letizia also remained active in her familys affairs, interviewing, hiring and shipping staff out to Napoleon and writing letters to secure his release. Nevertheless, her life now became tinged with tragedy as several of her children died young: Elisa in 1820, Napoleon in 1821 and Pauline in 1825. After Elisas death Letizia only ever wore black, and she became increasingly devout. Having lost all her teeth earlier in life Madame Mere now lost her sight, living many of her final years blind. Death / Conclusion Letizia Bonaparte died, still under the protection of the Pope, in Rome on February 2nd 1836. An often dominant mother, Madame Mà ¨re was a pragmatic and careful woman who combined an ability to enjoy luxury without guilt, but to also plan ahead and live without exorbitance. She remained Corsican in thought and word, preferring to speak Italian instead of French, a language which, despite almost two decades living in the country, she spoke poorly and could not write. Despite the hatred and bitterness aimed at her son Letizia remained a surprisingly popular figure, probably because she lacked the eccentricities and ambitions of her children. In 1851 Letizias body was returned and buried in her native Ajaccio. That she is a footnote in the history of Napoleon is an enduring shame, as she is an interesting character in her own right, especially as, centuries later, it is often the Bonapartes who resisted the heights of grandeur and folly who endear. Notable Family:Husband: Carlo Buonaparte (1746 - 1785)Children: Joseph Bonaparte, originally Giuseppe Buonaparte (1768 - 1844)Napoleon Bonaparte, originally Napoleone Buonaparte (1769 - 1821)Lucien Bonaparte, originally Luciano Buonaparte (1775 - 1840)Elisa Bacciochi, nà ©e Maria Anna Buonaparte/Bonaparte (1777 - 1820)Louis Bonaparte, originally Luigi Buonaparte (1778 - 1846)Pauline Borghese, nà ©e Maria Paola/Paoletta Buonaparte/Bonaparte (1780 - 1825)Caroline Murat, nà ©e Maria Annunziata Buonaparte/Bonaparte (1782 - 1839)Jà ©rà ´me Bonaparte, originally Girolamo Buonaparte (1784 - 1860)